Institute for Mathematics and its Applications University of Minnesota 114 Lind Hall 207 Church Street SE Minneapolis, MN 55455 
20082009 Program
See http://www.ima.umn.edu/20082009 for a full description of the 20082009 program on Mathematics and Chemistry.
8:15am8:45am  Coffee and registration  EE/CS 3176  T3.1.09  
8:45am9:00am  Welcome to the IMA  Fadil Santosa (University of Minnesota)  EE/CS 3180  T3.1.09 
9:00am11:00am  Tutorial on control theory  JeanMichel Coron (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  T3.1.09 
11:00am11:30am  Coffee  EE/CS 3176  T3.1.09  
11:30am12:30pm  Mathematical modelization and numerical approaches in quantum control  Gabriel Turinici (Université de Paris IX (ParisDauphine))  EE/CS 3180  T3.1.09 
12:30pm2:00pm  Lunch  T3.1.09  
2:00pm3:30pm  Controlling events at the atomic and molecular scales through Hamiltonian manipulation  Herschel A. Rabitz (Princeton University)  EE/CS 3180  T3.1.09 
3:30pm4:00pm  Coffee and discussions  EE/CS 3180  T3.1.09 
All Day  Morning Session: Dissipation I Afternoon Session: Control I  W3.26.09  
8:15am8:45am  Registration and coffee  EE/CS 3176  W3.26.09  
8:45am9:00am  Welcome to the IMA  Fadil Santosa (University of Minnesota)  EE/CS 3180  W3.26.09 
9:00am9:30am  NonMarkovian quantum dynamics: Foundations and applications to relaxation and transport processes  HeinzPeter Breuer (AlbertLudwigsUniversität Freiburg)  EE/CS 3180  W3.26.09 
9:30am9:50am  Discussion  EE/CS 3180  W3.26.09  
9:50am10:20am  Singular perturbations and LindbladKossakowski differential equations  Pierre Rouchon (École Nationale Supérieure des Mines de Paris)  EE/CS 3180  W3.26.09 
10:20am10:40am  Discussion  EE/CS 3180  W3.26.09  
10:40am11:10am  Coffee break  EE/CS 3176  W3.26.09  
11:10am11:40am  Optimal control of laser cooling: A theory of purity increasing transformations  David J. Tannor (Weizmann Institute of Science)  EE/CS 3180  W3.26.09 
11:40am12:00pm  Discussion  EE/CS 3180  W3.26.09  
12:00pm12:30pm  Panel discussion  David J. Tannor (Weizmann Institute of Science)  EE/CS 3180  W3.26.09 
12:30pm2:00pm  Lunch  W3.26.09  
2:00pm2:30pm  Controlling events at the atomic and molecular scales through Hamiltonian manipulation  Herschel A. Rabitz (Princeton University)  EE/CS 3180  W3.26.09 
2:30pm2:50pm  Discussion  EE/CS 3180  W3.26.09  
2:50pm3:20pm  Controllability for a coupled system of Schrödinger equations modeling a trapped ion  JeanPierre Puel (Université Versailles/Saint QuentinenYvelines)  EE/CS 3180  W3.26.09 
3:20pm3:40pm  Discussion  EE/CS 3180  W3.26.09  
3:40pm4:10pm  Coffee break  EE/CS 3176  W3.26.09  
4:10pm4:40pm  Panel discussion  Gabriel Turinici (Université de Paris IX (ParisDauphine))  EE/CS 3180  W3.26.09 
All Day  Morning Session: Control and Dissipation I Afternoon Session: Control and Dissipation II  W3.26.09  
8:15am8:45am  Coffee  EE/CS 3176  W3.26.09  
8:45am9:15am  Weak field control employing the stochastic surrogate Hamiltonian  Ronnie Kosloff (Hebrew University)  EE/CS 3180  W3.26.09 
9:15am9:35am  Discussion  EE/CS 3180  W3.26.09  
9:35am10:05am  On a parametrization of the symplectic group with applications to quantum control  Viswanath Ramakrishna (University of Texas at Dallas)  EE/CS 3180  W3.26.09 
10:05am10:25am  Discussion  EE/CS 3180  W3.26.09  
10:25am10:55am  Coffee break  EE/CS 3176  W3.26.09  
10:55am11:25am  Preserving and extending quantum coherence: from the spin echo effect to fault tolerant quantum computation  Daniel Lidar (University of Southern California)  EE/CS 3180  W3.26.09 
11:25am11:45am  Discussion  EE/CS 3180  W3.26.09  
11:45am12:15pm  Panel discussion  David A. Micha (University of Florida)  EE/CS 3180  W3.26.09 
12:15pm2:00pm  Lunch  W3.26.09  
2:00pm2:30pm  Environmental decoherence in quantumclassical systems  Raymond Kapral (University of Toronto)  EE/CS 3180  W3.26.09 
2:30pm2:50pm  Discussion  EE/CS 3180  W3.26.09  
2:50pm3:00pm  Group Photo  W3.26.09  
3:00pm3:30pm  Coffee break  EE/CS 3176  W3.26.09  
3:30pm4:00pm  Feedback and time optimal control for quantum spin systems  Kazufumi Ito (North Carolina State University)  EE/CS 3180  W3.26.09 
4:00pm4:20pm  Discussion  EE/CS 3180  W3.26.09  
4:20pm4:50pm  Panel discussion  Enrique Zuazua (Basque Center for Applied Mathematics)  EE/CS 3180  W3.26.09 
5:00pm6:30pm  Reception and Poster Session Poster submissions welcome from all participants  Lind Hall 400  W3.26.09  
Laserinduced currents along molecular wire junctions: control in the presence of decoherence due to vibronic couplings  Ignacio Franco (Northwestern University)  
Lyapunov control of Schrödinger equations: beyond the dipole approximation  Andreea Grigoriu (Université de Paris IX (ParisDauphine)) Catalin Lefter (University "Al. I. Cuza" of Iaşi)  
Landscape of unitary Transformation in controlled quantum dynamics  TakSan Ho (Princeton University)  
Density matrix treatment of optical response with combined instantaneous and delayed dissipations: Adsorbates on solid surfaces  David A. Micha (University of Florida)  
Explicit, implicit and parametric invariant manifolds for model reduction in chemical kinetics  Vladimir A. Sobolev (Samara State University)  
Canards, black swans and control of chemical reactions  Vladimir A. Sobolev (Samara State University)  
Universal families and quantum control in infinite dimensions  Rui Vilela Mendes (Instituto Superior Tecnico)  
Quantum dissipation and quantum transport: Exact theory and efficient implementation  YiJing Yan (Hong Kong University of Science and Technology) Xiao Zheng (Hong Kong University of Science and Technology)  
Fast and accurate computational techniques for the optimal control of quantum systems  Gregory John von Winckel (KarlFranzensUniversität Graz) 
All Day  Morning Session: Coherence I Afternoon Session: Coherence II  W3.26.09  
8:10am8:30am  Coffee  EE/CS 3176  W3.26.09  
8:30am9:00am  Electronically nonadiabatic dynamics via semiclassical initial value methods  William H. Miller (University of California, Berkeley)  EE/CS 3180  W3.26.09 
9:00am9:20am  Discussion  EE/CS 3180  W3.26.09  
9:20am9:50am  A greedy algorithm for the identification of quantum systems  Yvon Maday (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  W3.26.09 
9:50am10:10am  Discussion  EE/CS 3180  W3.26.09  
10:10am10:40am  Coffee break  EE/CS 3176  W3.26.09  
10:40am11:10am  Manipulating quantum pathways of matter by coherent nonlinear spectroscopy with classical fields and entangled photons  Shaul Mukamel (University of California, Irvine)  EE/CS 3180  W3.26.09 
11:10am11:30am  Discussion  EE/CS 3180  W3.26.09  
11:30am12:00pm  Hamiltonian and Markovian reservoir engineering for quantum systems  Sonia Schirmer (University of Cambridge)  EE/CS 3180  W3.26.09 
12:00pm12:20pm  Discussion  EE/CS 3180  W3.26.09  
12:20pm12:50pm  Panel discussion  David F. Coker (Boston University)  EE/CS 3180  W3.26.09 
12:50pm2:30pm  Lunch  W3.26.09  
2:30pm3:00pm  Quantum photochemistry: Incorporation of decoherence in semiclassical treatments of electronically nonadiabatic molecular dynamics  Donald G. Truhlar (University of Minnesota)  EE/CS 3180  W3.26.09 
3:00pm3:20pm  Discussion  EE/CS 3180  W3.26.09  
3:20pm3:50pm  Waves, numerics, control, dispersion and dissipation  Enrique Zuazua (Basque Center for Applied Mathematics)  EE/CS 3180  W3.26.09 
3:50pm4:10pm  Discussion  EE/CS 3180  W3.26.09  
4:10pm4:40pm  Panel discussion  Karl Kunisch (KarlFranzensUniversität Graz)  EE/CS 3180  W3.26.09 
6:00pm7:00pm  Math Matters Public Lecture Reception  Willey Hall Atrium  W3.26.09  
7:00pm8:15pm  Matters Lecture: Sports Scheduling and the Practice of Operations Research  Michael Trick (Carnegie Mellon University)  Willey Hall 125  W3.26.09 
All Day  Morning Session: Control and Dissipation III Afternoon Session: Coherence and Dissipation  W3.26.09  
8:10am8:30am  Coffee  EE/CS 3176  W3.26.09  
8:30am9:00am  Monotonically convergent algorithms for solving quantum optimal control problems in chemistry and physics  Yukiyoshi Ohtsuki (Tohoku University)  EE/CS 3180  W3.26.09 
9:00am9:20am  Discussion  EE/CS 3180  W3.26.09  
9:20am9:50am  Controllability and nonlinearity: Applications to Schrödinger control systems  JeanMichel Coron (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  W3.26.09 
9:50am10:10am  Discussion  EE/CS 3180  W3.26.09  
10:10am10:40am  Coffee break  EE/CS 3176  W3.26.09  
10:40am11:10am  Quantum dissipation theory: From solvation dynamics to quantum transport  YiJing Yan (Hong Kong University of Science and Technology)  EE/CS 3180  W3.26.09 
11:10am11:30am  Discussion  EE/CS 3180  W3.26.09  
11:30am12:00pm  Dissipative dynamics in quantum and nonholonomic systems  Anthony Michael Bloch (University of Michigan)  EE/CS 3180  W3.26.09 
12:00pm12:20pm  Discussion  EE/CS 3180  W3.26.09  
12:20pm12:50pm  Panel discussion  Yvon Maday (Université de Paris VI (Pierre et Marie Curie))  EE/CS 3180  W3.26.09 
12:50pm2:30pm  Lunch  W3.26.09  
2:30pm3:00pm  Nonadiabatic solvation dynamics and decoherence: a molecular hydrodynamic approach  Irene Burghardt (École Normale Supérieure)  EE/CS 3180  W3.26.09 
3:00pm3:20pm  Discussion  EE/CS 3180  W3.26.09  
3:20pm3:50pm  Coffee break  EE/CS 3176  W3.26.09  
3:50pm4:20pm  Limits on control of spin dynamics in the presence of decoherence  Navin Khaneja (Harvard University)  EE/CS 3180  W3.26.09 
4:20pm4:40pm  Discussion  EE/CS 3180  W3.26.09  
4:40pm5:10pm  Panel discussion  Oleg Prezhdo (University of Washington)  EE/CS 3180  W3.26.09 
6:30pm8:30pm  Workshop dinner  Pagoda Restaurant 1417 4th St. SE Minneapolis, MN 6123784710 
W3.26.09 
All Day  Control II  W3.26.09  
8:15am8:45am  Coffee  EE/CS 3176  W3.26.09  
8:45am9:15am  Quantum internal model principle and decoherence control  TzyhJong Tarn (Washington University)  EE/CS 3180  W3.26.09 
9:15am9:35am  Discussion  EE/CS 3180  W3.26.09  
9:35am10:05am  Feedback schemes for radiation damping suppression in NMR: a controltheoretical perspective  Claudio Altafini (International School for Advanced Studies (SISSA/ISAS))  EE/CS 3180  W3.26.09 
10:05am10:25am  Discussion  EE/CS 3180  W3.26.09  
10:25am10:55am  Coffee break  EE/CS 3176  W3.26.09  
10:55am11:25am  MaxwellSchrödinger equations for ultrashort intense laser pulse propagation in molecular media  André D. Bandrauk (University of Sherbrooke)  EE/CS 3180  W3.26.09 
11:25am11:45am  Discussion  EE/CS 3180  W3.26.09 
10:45am11:15am  Coffee break  Lind Hall 400 
10:45am11:15am  Coffee break  Lind Hall 400  
11:15am12:15pm  The ground state energy of heavy atoms: Relativistic lowering of the leading energy correction  Heinz Siedentop (LudwigMaximiliansUniversität München)  Lind Hall 305  PS 
10:45am11:15am  Coffee break  Lind Hall 400 
10:45am11:15am  Coffee break  Lind Hall 400  
1:00pm2:00pm  Reading group for Professor Ridgway Scott's book "Digital Biology"  L. Ridgway Scott (University of Chicago)  Lind Hall 401 
10:45am11:15am  Coffee break  Lind Hall 400 
10:45am11:15am  Coffee break  Lind Hall 400 
10:45am11:15am  Coffee break  Lind Hall 400  
11:15am12:25pm  A model for liver homeostasis using a modified meanreverting OrnsteinUhlenbeck process  Wei Xiong (University of Minnesota)  Lind Hall 305  PS 
2:00pm3:00pm  Reading group for Professor Ridgway Scott's book "Digital Biology"  L. Ridgway Scott (University of Chicago)  Lind Hall 401 
10:45am11:15am  Coffee break  Lind Hall 400 
10:45am11:15am  Coffee break  Lind Hall 400 
All Day  University of Minnesota Floating Holiday. The IMA is closed. 
8:15am9:00am  Registration and coffee  EE/CS 3176  SW3.2326.09  
9:00am9:15am  Welcome to the IMA  Fadil Santosa (University of Minnesota)  EE/CS 3180  SW3.2326.09 
9:15am10:00am  Natural gradient flow discretization of viscous thin films on curved geometries  Martin Rumpf (Rheinische FriedrichWilhelmsUniversität Bonn)  EE/CS 3180  SW3.2326.09 
10:00am10:45am  A spectral method with window technique for the initial value problems of the KadomtsevPetviashvili equation  Chiu Yen Kao (University of Minnesota)  EE/CS 3180  SW3.2326.09 
10:45am11:15am  Break  EE/CS 3176  SW3.2326.09  
11:15am12:00pm  Coarsening: transient and selfsimilar dynamics in 1D  Thomas Peter Witelski (Duke University)  EE/CS 3180  SW3.2326.09 
12:00pm2:00pm  Lunch  SW3.2326.09  
2:00pm2:45pm  Diffuse interface model of interface problems with curvature dependent energies  Qiang Du (Pennsylvania State University)  EE/CS 3180  SW3.2326.09 
2:45pm3:30pm  Viscous fingeringlike instability of cell fragments: a nonlinear analysis  Martine Ben Amar (École Normale Supérieure)  EE/CS 3180  SW3.2326.09 
3:30pm3:40pm  Group photo  SW3.2326.09  
4:00pm5:30pm  Reception and Poster Session Poster submissions welcome from all participants Instructions  Lind Hall 400  SW3.2326.09  
Step evolution for crystals of finite size: The ADL case  Hala Al Hajj Shehadeh (New York University)  
Asymptotic dynamics of attractiverepulsive swarms  Andrew Joel Bernoff (Harvey Mudd College) Chad Michael Topaz (Macalester College)  
Tear film dynamics on an eyeshaped domain: Pressure boundary conditions  Richard J. Braun (University of Delaware)  
A multigrid method for the dual formulation of total variationbased image restoration  Jamylle Laurice Carter (San Francisco State University)  
Numerical study of the parameters α and β in the Navier–Stokesαβ equations for turbulence  Eliot Fried (McGill University)  
A gradient flow approach to a free boundary droplet model  Natalie Grunewald (Rheinische FriedrichWilhelmsUniversität Bonn)  
Statistical models of criminal behavior: The effects of law enforcement actions  Paul Ashton Jones (University of California, Los Angeles)  
On instabilities of finitesize films and rivulets  Lou Kondic (New Jersey Institute of Technology)  
Phasefield model of selfassembled copolymer monolayer  HsiangWei Lu (Harvey Mudd College)  
Dewetting of thin liquid films  Andreas Münch (University of Nottingham)  
Thin fluid films with surfactant  Ellen Peterson (North Carolina State University) Michael Shearer (North Carolina State University)  
Local existence of solutions to a PDE model of criminal behavior  Nancy Rodriguez (University of California, Los Angeles)  
Shape optimizer needed  Andreas Savin (Université de Paris VI (Pierre et Marie Curie))  
Microfluidics enhanced novel materials synthesis  Amy Shen (University of Washington)  
On the planar extensional motion of an inertiallydriven liquid sheet  Linda B. Smolka (Bucknell University)  
Effect of boundary conditions on mixing efficiency  James Springham (University of Leeds) Rob Sturman (University of Leeds)  
Eulerian indicators for predicting mixing efficiency  Rob Sturman (University of Leeds)  
Instabilities and Taylor dispersion in isothermal binary thin fluid films  Burt S. Tilley (Franklin W. Olin College of Engineering)  
The viscous Nvortex problem: A generalized HelmholtzKirchhoff approach  David Thomas Uminsky (Boston University)  
High order geometric and potential driving PDEs for image and surface analysis  Guowei Wei (Michigan State University)  
Memory as vibration in a disconnecting air bubble  Wendy W. Zhang (University of Chicago)  
Headon impact of liquid drops  Wendy W. Zhang (University of Chicago) 
8:30am9:00am  Coffee  EE/CS 3176  SW3.2326.09  
9:00am9:45am  Bodies and boundaries interacting with complex fluids  Michael J. Shelley (New York University)  EE/CS 3180  SW3.2326.09 
9:45am10:30am  Generalized Newtontype methods for energy formulations in image processing  Leah Bar (University of Minnesota)  EE/CS 3180  SW3.2326.09 
10:30am11:00am  Break  EE/CS 3176  SW3.2326.09  
11:00am11:45am  Droplet microfluidics experiments: Challenges for modeling and control  Robin L. Garrell (University of California, Los Angeles)  EE/CS 3180  SW3.2326.09 
11:45am1:30pm  Lunch  SW3.2326.09  
1:30pm2:15pm  A comparison of lumped and field models for electrowetting of sessile drops  Ali Nadim (Claremont Graduate University)  EE/CS 3180  SW3.2326.09 
2:15pm3:00pm  Effects of Riemannian curvature on the analysis of landmark shape manifolds  Mario Micheli (University of California, Los Angeles)  EE/CS 3180  SW3.2326.09 
3:00pm3:30pm  Break  EE/CS 3176  SW3.2326.09  
3:30pm4:15pm  Complex variable methods and moving boundary problems  Linda J. Cummings (New Jersey Institute of Technology)  EE/CS 3180  SW3.2326.09 
4:15pm4:45pm  Discussion  EE/CS 3180  SW3.2326.09 
8:30am9:00am  Coffee  EE/CS 3176  SW3.2326.09  
9:00am9:45am  Precursors to splashing on a solid surface  Michael P. Brenner (Harvard University)  EE/CS 3180  SW3.2326.09 
9:45am10:30am  On countercurrent twolayer flows in thin channels  Burt S. Tilley (Franklin W. Olin College of Engineering)  EE/CS 3180  SW3.2326.09 
10:30am11:00am  Break  EE/CS 3176  SW3.2326.09  
11:00am11:45am  Dynamics of thin liquid films  Rachel Levy (Harvey Mudd College)  EE/CS 3180  SW3.2326.09 
11:45am1:30pm  Lunch  SW3.2326.09  
1:30pm2:15pm  Geometrical evolution problems at low Reynolds numbers: reduced models  Darren G. Crowdy (Imperial College London)  EE/CS 3180  SW3.2326.09 
2:15pm3:00pm  A secondorder method for Poisson's equation with discontinuous coefficients and singular sources  Joseph M. Teran (University of California, Los Angeles)  EE/CS 3180  SW3.2326.09 
3:00pm3:30pm  Break  EE/CS 3176  SW3.2326.09  
3:30pm4:15pm  A CahnHilliard functional with longrange interactions: (i) steady states and the phase diagram, (ii) small volume fraction asymptotics and gradient flow dynamics  Rustum Choksi (Simon Fraser University)  EE/CS 3180  SW3.2326.09 
4:15pm4:45pm  Discussion  EE/CS 3180  SW3.2326.09  
6:30pm8:30pm  Workshop dinner  Caspian Bistro 2418 University Ave SE Minneapolis, MN 55414 6126231133 
SW3.2326.09 
8:30am9:00am  Coffee  EE/CS 3176  SW3.2326.09  
9:00am9:45am  Sobolev active contours as alternatives to higherorder flows  Anthony J. Yezzi (Georgia Institute of Technology)  EE/CS 3180  SW3.2326.09 
9:45am10:30am  Selfsimilar rupture of thin films with strong slip  Barbara Niethammer (University of Oxford)  EE/CS 3180  SW3.2326.09 
10:30am11:00am  Break  EE/CS 3176  SW3.2326.09  
11:00am11:45am  Bregmanized methods for sparse reconstruction and restoration  Stanley J. Osher (University of California, Los Angeles)  EE/CS 3180  SW3.2326.09 
11:45am12:00pm  Closing remarks  EE/CS 3180  SW3.2326.09 
All Day  Illinois/Missouri Applied Harmonic Analysis Seminar  University of Illinois, UrbanaChampaign  
10:45am11:15am  Coffee break  Lind Hall 400 
10:45am11:15am  Coffee break  Lind Hall 400 
10:45am11:15am  Coffee break  Lind Hall 400 
Event Legend: 

PS  IMA Postdoc Seminar 
SW3.2326.09  Higher Order Geometric Evolution Equations: Theory and Applications from Microfluidics to Image Understanding 
T3.1.09  Introduction to Control, Coherence, and Dissipative Dynamics 
W3.26.09  Coherence, Control, and Dissipation 
Illinois/Missouri Applied Harmonic Analysis Seminar  
Abstract: Information on the meeting (including speakers, and travel funding for participants) is at University of Illinois, UrbanaChampaign. Note the Seminar will be followed by the AMS Central Section meeting, March 2729, at the University of Illinois.  
Discussion  
Abstract: No Abstract  
Hala Al Hajj Shehadeh (New York University)  Step evolution for crystals of finite size: The ADL case 
Abstract: We study the step evolution of crystal structures relaxing toward flat surface when the number of steps is finite. We assume that the mass transport process on the structure's surface is attachmentdetachment limited (ADL). We propose a fourth order PDE for the slope of the profile as a function of its height. This PDE is derived from the step equations of motion. The solution is asymptotically selfsimilar. We prove existence and uniqueness of the selfsimilar solution in the discrete setting.  
Claudio Altafini (International School for Advanced Studies (SISSA/ISAS))  Feedback schemes for radiation damping suppression in NMR: a controltheoretical perspective 
Abstract: In NMR spectroscopy, the collective measurement is weakly invasive and its backaction is called radiation damping. The aim of this talk is to provide a controltheoretical analysis of the problem of suppressing this radiation damping. It is shown that the two feedback schemes commonly used in the NMR practice correspond one to a high gain oputput feedback for the simple case of maintaining the spin 1/2 in its inverted state, and the second to a 2degree of freedom control design with a prefeedback that exactly cancels the radiation damping field. A general high gain feedback stabilization design not requiring the knowledge of the radiation damping time constant is also investigated.  
André D. Bandrauk (University of Sherbrooke)  MaxwellSchrödinger equations for ultrashort intense laser pulse propagation in molecular media 
Abstract: Interaction of ultrashort intense laser pulses with molecular
media leads to
highly nonlinear nonperturbative effects which can only be
treated by large
scale computation on massively parallel computers. Single
molecule response to
such pulses leads to Molecular High Order Harmonic Generation,
MHOHG, (1), from
which one can synthesize new "attosecond" pulses necessary to
control electron
dynamics at the natural time scale of the electron, the
attoseocond (10**18 s),
(2).The single molecular response can be obtained from high
level quantum
TimeDependent Schrödinger,TDSE, simulations. The collective
macroscopic
response of a molecular medium requires solving many TDSE,s
(>10**5)coupled to
the classical laser (photon) Maxwell equations (3). We will
present the
numerical methods necessary to achieve this goal, especially
the problem of
transparent and artificial boundary condition techniques in
view of the
different time scales, photon vs electron. Results will be
shown for attosecond
pulse generation and pulse filamentation in an aligned
molecular medium, the
one electron H2+ system(4).
(1).A D Bandrauk et al,"Molecular Harmonic Generation," in
Progress in Ultrafast
Intense Laser Science, vol III, edit K. Yamanouchi (Springer
V, NY,2008), chapt 9.


Leah Bar (University of Minnesota)  Generalized Newtontype methods for energy formulations in image processing 
Abstract: Many problems in image processing are addressed via the minimization of a cost functional. The most prominently used optimization technique is gradientdescent, often used due to its simplicity and applicability where other techniques, e.g., those coming from discrete optimization, can not be applied. Yet, gradientdescent suffers from slow convergence, and often to just local minima which highly depend on the initialization and the condition number of the functional Hessian. Newtontype methods, on the other hand, are known to have a faster, quadratic, convergence. In its classical form, the Newton method relies on the L2type norm to define the descent direction. In this work, we generalize and reformulate this very important optimization method by introducing Newtontype methods based on more general norms. Such norms are introduced both in the descent computation (Newton step), and in the corresponding stabilizing trustregion. This generalization opens up new possibilities in the extraction of the Newton step, including benefits such as mathematical stability and the incorporation of smoothness constraints. We first present the derivation of the modified Newton step in the calculus of variation framework needed for image processing. Then, we demonstrate the method with two common objective functionals: variational image deblurring and geometric active contours for image segmentation. We show that in addition to the fast convergence, norms adapted to the problem at hand yield different and superior results.  
Martine Ben Amar (École Normale Supérieure)  Viscous fingeringlike instability of cell fragments: a nonlinear analysis 
Abstract: I will present an hydrodynamic model for the motility of keratocytes or fibroblasts on substrates in vitro. Cells or fragment of cells have been observed to switch from a stationary round state to a motile and anisotropic crescentshaped state. Experimentally, a polarization of the actin network occurs in a preferred direction prior to motility and determins the direction of motion. In this talk, I will present first the model for actin flow of CallanJones et al for twodimensionnal cells lying on a substrate with a strong friction. Using Schwarz function techniques, we derive a dynamic equation for the shape contour including the polymerisationdepolymerisation process and show that static circular shapes are stable for enough tension of the lipidic membrane. We extend the model to incorporate the actin cortex whose anisotropy is due to a preferred orientation at the lipidic membrane. To do so, we use the theory of active polar gels of Kruse et al. inspired from the theory of liquid crystals. Since this cortex has a size of order one ten of the cell, we perform a boundary layer analysis. The presence of the cortex is responsible for a modification of the boundary conditions at the cell border. We show that an increase of the motor activity destabilisizes the cell in the tensile case but we also show that a polarization of the whole actin network is necessary to induce a translation motion.  
Andrew Joel Bernoff (Harvey Mudd College), Chad Michael Topaz (Macalester College)  Asymptotic dynamics of attractiverepulsive swarms 
Abstract: We classify and predict the asymptotic dynamics of a class of swarming models. The model consists of a conservation equation in one dimension describing the movement of a population density field. The velocity is found by convolving the density with a kernel describing attractiverepulsive social interactions. The kernel's first moment and its limiting behavior at the origin determine whether the population asymptotically spreads, contracts, or reaches steadystate. For the spreading case, the dynamics approach those of the porous medium equation. The widening, compactlysupported population has edges that behave like traveling waves whose speed, density and slope we calculate. For the contracting case, the dynamics of the cumulative density approach those of Burgers' equation. We derive an analytical upper bound for the finite blowup time after which the solution forms one or more δfunctions.  
Anthony Michael Bloch (University of Michigan)  Dissipative dynamics in quantum and nonholonomic systems 
Abstract: In this talk we study the dissipative dynamics arising from coupling to an infinite field in both the classical and quantum context. In particular we study dissipative dynamics generalizing the classical Lamb model. We apply this to the study of dissipation arising in certain controlled quantum systems and also study a model which allows us to quantize certain nonholonomic systems. In the latter case we consider nonholonomic constraints as arising from the limit of a frictional force and then implement the force by an external field which we then quantize. Other methods of quantizing nonholonomic systems will also be discussed.  
Richard J. Braun (University of Delaware)  Tear film dynamics on an eyeshaped domain: Pressure boundary conditions 
Abstract: We model the evolution of human tear film during relaxation (after a blink) using lubrication theory and explore the effects of viscosity, surface tension, gravity and boundary conditions that specify the pressure. The governing nonlinear partial differential equation is solved on an overset grid by a method of lines using finite differences in space and an adaptive second order backward difference formula solver in time. Our twodimensional simulations, calculated in the Overture framework, display sensitivity in the flow around the boundary to both our choice between two different pressure boundary conditions and to the presence of gravity. The simulations recover features seen in onedimensional simulations and capture some experimental observations including hydraulic connectivity around the lid margins.  
Michael P. Brenner (Harvard University)  Precursors to splashing on a solid surface 
Abstract: A high velocity impact between a liquid droplet and a solid surface produces a splash. Classical work traced the origin of the splash to a thin sheet of liquid ejected near the impact point. Mechanisms of sheet formation have heretofore relied on initial contact of the droplet and the surface. We demonstrate that, neglecting intermolecular forces between the liquid and the solid, the liquid does not contact the solid, and instead spreads on a very thin air film. The interface of the droplet develops a high curvature and emits capillary waves.  
HeinzPeter Breuer (AlbertLudwigsUniversität Freiburg)  NonMarkovian quantum dynamics: Foundations and applications to relaxation and transport processes 
Abstract: Realistic quantum mechanical systems are influenced through the coupling to an environment containing a large number of mostly uncontrollable degrees of freedom. This unavoidable interaction of an open quantum systems with its environment leads to the mechanisms of dissipation and damping, and to a strong and often rapid loss of quantum coherence. The talk begins with a brief introduction into the standard theory of quantum mechanical relaxation which is based on the Markov approximation and on the concepts of completely positive dynamical semigroups and of quantum master equations in Lindblad form. Many examples for this approach are known from quantum optics, decoherence theory, quantum Brownian motion and quantum measurement and control theory. However, strong couplings or interactions with lowtemperature reservoirs generally lead to large systemenvironment correlations which result in long memory times and in a failure of the Markov approximation. To describe the basic features of the nonMarkovian quantum dynamics of open systems we develop several new methods as, for example, the technique of correlated projection superoperators [1] and the concept of quantum semiMarkov processes [2]. A number of examples and applications to structured and finite reservoirs [3], to electron spin dynamics in quantum dots [4], and to the problem of quantum transport in nanostructures [5] will be discussed. [1] H. P. Breuer, Phys. Rev. A 75, 022103 (2007). [2] H. P. Breuer and B. Vacchini, Phys. Rev. Lett. 101, 140402 (2008). [3] H. P. Breuer, J. Gemmer and M. Michel, Phys. Rev. E73, 016139 (2006). [4] E. Ferraro, H. P. Breuer, A. Napoli, M. A. Jivulescu, and A. Messina, Phys. Rev. B78, 064309 (2008). [5] R. Steinigeweg, H. P. Breuer and J. Gemmer, Phys. Rev. Lett. 99, 150601 (2007).  
Irene Burghardt (École Normale Supérieure)  Nonadiabatic solvation dynamics and decoherence: a molecular hydrodynamic approach 
Abstract: We present a recently developed mixed quantumclassical method which accounts for the evolution of a quantum subsystem coupled to a nonequilibrium environment (solvent) described in an extended hydrodynamic setting [1]. Starting from a hybrid quantumclassical phasespace distribution, coupled equations for the quantumclassical local density and momentum density are derived which feature the characteristic populationcoherence coupling of the nonadiabatic quantum evolution. A generalized free energy functional is introduced, which is similar to the functionals used in dynamical density functional theory (DDFT) methods [2] but is adapted to the quantumclassical setting. The relevant functionals involve twoparticle (or, more generally, nparticle) correlation functions that are constructed from statespecific microscopic solutesolvent interactions. A microscopic Marcustype functional for polar solvation is considered as a special case. The present formulation is particularly appropriate to describe ultrafast solvation dynamics coupled with charge transfer, for example in photochemical charge transfer processes. By the explicit consideration of quantum coherence, the details of population transfer and its susceptibility to decoherence effects, become amenable to direct investigation. First numerical examples are presented [3] and the extension of the formalism beyond the free energy functional formulation are addressed, in particular in view of including nonequilibrium solvent correlations. [1] I. Burghardt and B. Bagchi, Chem. Phys. 329, 343 (2006). [2] B. Bagchi and A. Chandra, Adv. Chem. Phys. LXXX, 1 (1991); U. Marini Bettolo Marconi and P. Tarazona, J. Chem. Phys. 110, 8032 (1999); A. J. Archer and R. Evans, J. Chem. Phys. 121, 4246 (2004). [3] P. Ramanathan, S. Parry, S.L. Zhao, K. H. Hughes, and I. Burghardt, to be submitted.  
Jamylle Laurice Carter (San Francisco State University)  A multigrid method for the dual formulation of total variationbased image restoration 
Abstract: We present a multigrid method for solving the dual formulation of the Total Variationbased problem in image restoration. Flat regions of the desired image contribute to the slow convergence of the widelyused Chambolle method. Numerical results confirm that the multigrid method with a modified Chambolle smoother is many orders of magnitude faster than the original Chambolle method.  
Rustum Choksi (Simon Fraser University)  A CahnHilliard functional with longrange interactions: (i) steady states and the phase diagram, (ii) small volume fraction asymptotics and gradient flow dynamics 
Abstract: We consider a CahnHilliard functional with longrange interactions. This functional was introduced as a qualitative way of modeling selfassembly of diblock copolymers. We will consider the phase diagram from the point of view of numerical simulations. We will also describe analytical work, via Gamma convergence, on the asymptotics of the energy in the small volume fraction limit. Our results will be compared with a formal study on the H^{1} gradientflow of the functional, demonstrating separate regimes for coarsening and selfassembly (pattern formation). This talk will encompass recent work with M. Peletier (Eindhoven), J.F. Williams (SFU), M. Maras (SFU), and with K. Glasner (Arizona).  
David F. Coker (Boston University)  Panel discussion 
Abstract: No Abstract  
JeanMichel Coron (Université de Paris VI (Pierre et Marie Curie))  Tutorial on control theory 
Abstract: The aim of this tutorial is to present basic results (e.g., on controllability, observability, feedback laws...) in control theory of systems modeled by ordinary differential equations. First, we give the classical results for linear control systems. Then, we give the direct applications of this linear theory to local results for nonlinear control systems. Finally, we present some more advanced tools to deal with global properties and with the case where the linearized control system is not controllable. We illustrate the methods presented on simple physical systems.  
JeanMichel Coron (Université de Paris VI (Pierre et Marie Curie))  Controllability and nonlinearity: Applications to Schrödinger control systems 
Abstract: In this talk we survey some methods to study the controllability of nonlinear control systems modeled by partial differential equations, namely: 1. The return method, 2. Power series expansions, 3. Quasistatic deformations. These methods will be illustrated on quantum systems. 

Darren G. Crowdy (Imperial College London)  Geometrical evolution problems at low Reynolds numbers: reduced models 
Abstract: In this talk we report on some mathematical techniques for modelling evolving geometries at low Reynolds numbers. Two problems will be discussed, both involving free capillary surfaces. The first is a study of organisms swimming in Stokes flows in the presence of free surfaces. An idealized mathematical model is presented whereby the swimmer's interaction with a free capillary surface is captured. The second problem is of industrial importance involving the optimal design of thin optic fibres with microstructure. There is much interest in reducing transmission loss in optic fibres by careful design of the microstucture imparted to a fibre during the ``drawing process'' in which molten glass is pulled through a casting die. During this process, geometrical changes in the microstucture take place owing to capillary effects resulting in the need to understand a highly nonlinear inverse problem. New ideas for modelling this process will be described.  
Linda J. Cummings (New Jersey Institute of Technology)  Complex variable methods and moving boundary problems 
Abstract: We will selectively review the application of complex variable methods to moving boundary problems, with specific reference to the HeleShaw problem, and slow viscous flow driven by surface tension (in 2D, or quasi2D). Established theory and results will be discussed, as well as some open questions and new directions.  
Qiang Du (Pennsylvania State University)  Diffuse interface model of interface problems with curvature dependent energies 
Abstract: In this talk, we report some recent works on the diffuse interface models of some interface problems with curvature dependent interfacial energies such as the Helfrich elastic bending energy for vesicle membranes. We discuss various theoretical and computational issues related to the diffuse interface approach and present some simulation results for the deformation of vesicle membranes in a number of environmental conditions.  
Ignacio Franco (Northwestern University)  Laserinduced currents along molecular wire junctions: control in the presence of decoherence due to vibronic couplings 
Abstract: The effect of electronvibrational interactions on the electronic transport induced by femtosecond omega + 2omega laser fields along unbiased molecular nanojunctions is investigated. For this, the photoinduced vibronic dynamics of transpolyacetylene oligomers coupled to macroscopic metallic leads is followed in a meanfield mixed quantum classical approximation. A reduced description of the dynamics is obtained by introducing projective leadmolecule couplings and deriving an effective Schrödinger equation satisfied by the orbitals in the molecular region. Two possible rectification mechanisms are identified and investigated. The first one relies on nearresonance photon absorption and is shown to be fragile to the ultrafast electronic decoherence processes introduced by the wire's vibrations. The second one employs the dynamic Stark effect and is demonstrated to be highly efficient and robust to electronvibrational interactions.  
Eliot Fried (McGill University)  Numerical study of the parameters α and β in the Navier–Stokesαβ equations for turbulence 
Abstract: We perform numerical studies of the Navier–Stokesαβ equations, which are based on a general framework for fluiddynamical theories with gradient dependencies. Specifically, we examine the effect of the length scales α and β on the energy spectrum in threedimensional statistically homogeneous and isotropic turbulent flows in a periodic cubic domain, including the limiting cases of the Navier–Stokesα and Navier–Stokes equations. A significant increase in the accuracy arises for β < α, but an optimal choice of these scales depends on the grid resolution.  
Robin L. Garrell (University of California, Los Angeles)  Droplet microfluidics experiments: Challenges for modeling and control 
Abstract: Microfluidic devices without walls have many advantages over channelbased devices. In dropletbased (“digital”) microfluidics, liquids are transported as droplets between parallel plates, rather than as streams. The droplets are created, moved, joined and divided by applying electrical potentials sequentially between electrodes buried beneath a hydrophobic dielectric layer. The resulting device is completely reconfigurable. Samples can be processed in series or simultaneously, each in the same way or through a unique sequence of steps. We have found shown that droplets of a wide range of liquids can be actuated by electrowetting, dielectrophoresis, or a combination of the two. An electromechanical model has been developed that explains the relative ease with which different liquids can be actuated and provides the basis for designing devices and operating conditions for actuating particular liquids. Applications of droplet microfluidics include separations by precipitation, solid phase extraction and liquidliquid phase transfer. Understanding and controlling these processes represent significant new challenges to the modeling community.  
Andreea Grigoriu (Université de Paris IX (ParisDauphine)), Catalin Lefter (University "Al. I. Cuza" of Iaşi)  Lyapunov control of Schrödinger equations: beyond the dipole approximation 
Abstract: In this joint work with Gabriel Turinici, we analyse the Lyapunov trajectory tracking of the Schrödinger equation for a second order coupling operator. We present a theoretical convergence result; for situations not covered by the first theorem we propose a numerical approach and complement it with a second theoretical result.  
Natalie Grunewald (Rheinische FriedrichWilhelmsUniversität Bonn)  A gradient flow approach to a free boundary droplet model 
Abstract: We consider a quasi–stationary free boundary droplet model. This model does not satisfy a comparison principle and can have non unique solutions. Nevertheless it can be seen as a gradient flow on the space of possible supports of the drop. The gradient flow formulation leads to a natural time discretization, which we employ to show the existence of a weak form of viscosity solutions for the model.  
TakSan Ho (Princeton University)  Landscape of unitary Transformation in controlled quantum dynamics 
Abstract: The control problem of generating unitary transformations is especially relevant to current research in quantum information processing and computing. Control dynamical landscapes for unitary transformations is analyzed in the inﬁnite dimensional function space of the timedependent external ﬁeld. The dynamical analysis reveals many essential geometric features of optimal control landscapes for unitary transformations, including bounds on the local landscape slope and curvature. Close examination of the curvatures at the critical points shows that the unitary transformation control landscapes are free of local traps and proper choices of the adaptation matrix may facilitate the search for optimal control ﬁelds producing desired unitary transformations, in particular, in the neighborhood of the global extrema.  
Kazufumi Ito (North Carolina State University)  Feedback and time optimal control for quantum spin systems 
Abstract: A feedback control law is developed for the stochastic control problems for quantum spin systems. It is similar to the one we analyzed for the Schroedinger control system. Also, the time optimal control problem is discussed for the deterministic quantum spin system. An algorithm based on the semismooth Newton method is developed and analyzed. Numerical findings are reported for the spin half system.  
Paul Ashton Jones (University of California, Los Angeles)  Statistical models of criminal behavior: The effects of law enforcement actions 
Abstract: We continue the study, initiated in Short et al., of criminal activities as described by an agent based model with dynamical target affinities. Here we incorporate effect of law enforcement agents on the spatial distribution and overall level of crime in simulated urban settings. Our focus is on a two–dimensional lattice model of residential burglaries, where each site (target) is characterized by a dynamic attractiveness to burglary and where criminal and law enforcement agents are represented by random walkers. The dynamics of the criminal agents and the attractiveness field are, with certain modifications to be detailed, as described in Short et al. Here the dynamics of enforcement agents are affected by the attractiveness field via a biasing of the walk the detailed rules of which define a deployment strategy. We observe that law enforcement agents, if properly deployed, will in fact reduce the total amount of crime, but their relative effectiveness depends on their numbers, the deployment strategy used, and spatial distribution of criminal activity.  
Chiu Yen Kao (University of Minnesota)  A spectral method with window technique for the initial value problems of the KadomtsevPetviashvili equation 
Abstract: The KadomtsevPetviashvili (KP) equation is a twodimensional dispersive wave equation which was proposed to study the stability of one soliton solution of the KdV equation under the influence of weak transversal perturbations. It is well know that some closedform solutions can be obtained by function which have a Wronskian determinant form. It is of interest to study KP with an arbitrary initial condition and see whether the solution converges to any closedform solution asymptotically. To reveal the answer to this question both numerically and theoretically, we consider different types of initial conditions, including oneline soliton, Vshape wave and crossshape wave, and investigate the behavior of solutions asymptotically. We provides a detail description of classification on the results. The challenge of numerical approach comes from the unbounded domain and unvanished solutions in the infinity. In order to do numerical computation on the finite domain, boundary conditions need to be imposed carefully. Due to the nonperiodic boundary conditions, the standard spectral method with Fourier methods involving trigonometric polynomials cannot be used. We proposed a new spectral method with a window technique which will make the boundary condition periodic and allow the usage of the classical approach. We demonstrate the robustness and efficiency of our methods through numerous simulations.  
Raymond Kapral (University of Toronto)  Environmental decoherence in quantumclassical systems 
Abstract: Quantum systems that can be usefully partitioned into a subsystem
interacting with a bath will be considered. For such systems, a
quantumclassical Liouville description of the dynamics is assumed,
while retaining the full quantum equilibrium structure of the system.
The equations of motion may be cast in the form of a nonMarkovian
equation for the diagonal elements of the subsystem density matrix.
The memory kernel in this equation accounts for all coherences in
the system. The conditions under which the memory kernel decays
rapidly as a result of averages over quantum or classical bath
equilibrium structure will discussed. When such decay is rapid, it
will be shown how a lift back to the full phase space results in a
Markovian master equation of motion. This equation leads to a
surfacehopping trajectory description of the dynamics where each
fictitious trajectory accounts for decoherence due to the bath
degrees of freedom. The results will be illustrated by simulations
of nonadiabatic chemical dynamics.
R. Grunwald and R. Kapral, J. Chem. Phys., 126, 114109 (2007). R. Grunwald, H. Kim and R. Kapral, J. Chem. Phys., 128, 164110 (2008). 

Navin Khaneja (Harvard University)  Limits on control of spin dynamics in the presence of decoherence 
Abstract: An important problem in coherent spectroscopy and quantum information science is to find limits on how close an open quantum dynamical system can be driven to a target state in the presence of dissipation and decoherence. What is the optimal excitation that achieves this objective? We describe these problems in the context of the design of multidimensional NMR experiments that maximize the efficiency of transfer of coherence between coupled spins in the presence of decoherence with the goal of optimizing the sensitivity of these experiments. We present some new mathematical techniques for computing limits on how much coherence or polarization can be transferred between coupled spins in multiple spin topologies.  
Lou Kondic (New Jersey Institute of Technology)  On instabilities of finitesize films and rivulets 
Abstract: Joint work with J. Diez, A. Gonzalez, and R. Rack. We discuss the influence of finite size effects on the breakup process involving finitesize films and rivulets. For films, we show that the breakup process due to finite size effects can be related to the socalled nucleation mode of instability of infinite films. We also consider coupling of different modes of instabilities, and the competition between them. Next, we revisit the classical problem of rivulet instability and discuss whether finite size effects may be important in determining relevant breakup mechanisms. We apply our results to rupture of nanoscale metal lines irradiated by repeated laser pulses and discuss relevance of the considered process to selfassembly on nanoscale.  
Ronnie Kosloff (Hebrew University)  Weak field control employing the stochastic surrogate Hamiltonian 
Abstract: Joint work with Gil Katz, David Gelman, Mark Ratner and Ronnie Kosloff. Simulation of many body quantum dynamics scales exponentially bad with the number of degrees of freedom. Many methods are devoted to obtain a restricted many body wavefunction which still are able to approximate the quantum dynamics. In the context of system bath dynamics the surrogate Hamiltonian method the dynamics is simplified by replacing the bath Hamiltonian by a simpler version which describes the bath faithfully up to a specified time. The computation task becomes even more formidable when the dynamics takes place at a finite temperature, then formally the wavefunction has to be replaced with a density operator. We present a stochastic methods which allows to describe finite temperature dynamics within a wavefunction description. The stochastic methods are applied for the initial thermal sampling. In addition the dynamical description of the bath is extended stochasticly to take care of dephasing and energy relaxation at long times. We use this method to simulate an outstanding problem in coherent control: can we obtain weak field control of a branching ratio? The model consists of a ground state and two excited state potentials. The target is to control the population in these states using phase modulation only.  
Karl Kunisch (KarlFranzensUniversität Graz)  Panel discussion 
Abstract: No Abstract  
Rachel Levy (Harvey Mudd College)  Dynamics of thin liquid films 
Abstract: Thin liquid films are important in applications involving lubrication or coating, which arise in both biological and industrial contexts. Recent experiments have uncovered new phenomena that present challenges of modeling, analysis and simulation. These include new wave forms, fingering instabilities, and a variety of driving and control mechanisms. Mathematically the class of problems is interesting because surface tension dominates inertia, leading to fourth order nonlinear parabolic partial differential equations. This talk will include recent developments and open problems in theoretical, experimental and applied aspects of thin liquid films.  
Daniel Lidar (University of Southern California)  Preserving and extending quantum coherence: from the spin echo effect to fault tolerant quantum computation 
Abstract: Dynamical decoupling pulse sequences have been used to extend coherence times in quantum systems ever since the discovery of the spinecho effect. But while for good reasons the nuclear magnetic resonance (NMR) community has typically been content with moderate line narrowing, in quantum computing extremely high levels of coherence are required in order to perform meaningful computational tasks. In this talk I will describe a method of recursively concatenated dynamical decoupling pulses, designed to overcome both decoherence and operational errors [1]. For boundedstrength, nonMarkovian environments, such as for the spinbath that arises in electron and nuclearspin based solidstate quantum computer proposals, it is strictly advantageous to use concatenated, as opposed to standard periodic dynamical decoupling pulse sequences. Namely, the concatenated scheme is both faulttolerant and superpolynomially more efficient, at equal cost [2,3]. Preliminary experimental results on NMR of 13C in adamantene (due to Dieter Suter, Dortmund), and NMR of the 31P donor in Si (due to Steve Lyon, Princeton), demonstrating the advantages of concatenated decoupling, will also be presented. Time permitting, I will describe our recent results on the construction of a universal set of quantum logic gates whose fidelity can be kept arbitrarily high for essentially arbitrarily long times in the presence of coupling to a spin bath, by use of concatenated decoupling. References: [1] K. Khodjasteh and D.A. Lidar, "FaultTolerant Quantum Dynamical Decoupling," Phys. Rev. Lett. 95, 180501 (2005). [2] K. Khodjasteh and D.A. Lidar, "Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences," Phys. Rev. A 75, 062310 (2007). [3] K. Khodjasteh and D.A. Lidar, "Rigorous Bounds on the Performance of a Hybrid Dynamical DecouplingQuantum Computing Scheme," Phys. Rev. A 78, 012355 (2008).  
HsiangWei Lu (Harvey Mudd College)  Phasefield model of selfassembled copolymer monolayer 
Abstract: We develop a phase field model that incorporates the polymer vitrification and diffusion in the selfassembly of polymer blends. Simulation shows the different polymers in the blend cooperate to selfassemble into nanoscale features with varying dimension. The feature dimensions can be tuned by adjusting the blend composition and the surface concentration.  
Yvon Maday (Université de Paris VI (Pierre et Marie Curie))  A greedy algorithm for the identification of quantum systems 
Abstract: Joint work with Julien Salomon. In this presentation we present and illustrate a greedy algorithm that enables in a first stage to design a set of selective laser fields that can in a second stage be used to identify some unknown parameters of quantum systems for a problem of Hamiltonian Identification.  
Yvon Maday (Université de Paris VI (Pierre et Marie Curie))  Panel discussion 
Abstract: No Abstract  
David A. Micha (University of Florida)  Density matrix treatment of optical response with combined instantaneous and delayed dissipations: Adsorbates on solid surfaces 
Abstract: Joint work with Andrew S. Leathers (Quantum Theory Project, Departments of Chemistry and of Physics, University of Florida, Gainesville, Florida 32611, U.S.A.). The interaction of light with a localized (primary) region in a many atom system undergoing electronic and vibrational transitions leads to energy dissipation and uctuations through both nearly instantaneous and delayed processes. A fast dissipation typically occurs due to electronic energy relaxation in the medium, while a delayed dissipation arises from vibrational energy relaxation. A theoretical and computational treatment of these phenomena has been done in terms of a reduced density matrix (RDM) satisfying a generalized Liouvillevon Neumann equation.[1] Instantaneous dissipation is described by a Lindblad term containing electronic transition rates,[2] while the delayed dissipation is given by a time integral derived from the timecorrelation function (TCF) of atomic displacements in the medium.[3] We consider cases where the TCF decays exponentially (fast) or as an inverse power (slowly). An initial thermal equilibrium can not be assumed when there are long lasting interactions between the primary region and the medium. We describe a general procedure that provides the optical response in this case by calculating the difference between solutions for the RDM with and without excitation by a light pulse. We present examples for slow relaxation of optical excitation in CO/Cu(001) and Ag3/Si(111).[4] 1. D. A. Micha, A. Leathers, and B. Thorndyke in "Quantum Dynamics of Complex Molecular Systems" (SpringerVerlag, 2006) D. A. Micha and I. Burghardt, eds., pp. 165194. 2. D. A. Micha and A. Santana, J. Phys. Chem. A 2003, 107, 7311. 3. A. S. Leathers and D. A. Micha, J. Phys. Chem. A 2006, 110, 749. 4. A. S. Leather, D. A. Micha, and D. S. Kilin, "Density matrix treatment for an electronically excited adsorbate on a solid surface", to be published. Work partly supported by the NSF of the USA, and by the Dreyfus Foundation.  
Mario Micheli (University of California, Los Angeles)  Effects of Riemannian curvature on the analysis of landmark shape manifolds 
Abstract: Shape spaces can be endowed with the structure of Riemannian manifolds; this allows one to compute, for example, EulerLagrange equations and geodesic distance for such spaces. Until very recently little was known about the actual geometry of shape manifolds; in this talk we summarize results contained in my recent doctoral dissertation, which deals with the computation of curvature for "Landmarks Shape Spaces." Implications on both the qualitative dynamics of geodesics and the statistical analysis on shape manifolds are also discussed.  
William H. Miller (University of California, Berkeley)  Electronically nonadiabatic dynamics via semiclassical initial value methods 
Abstract: In the late 1970’s Meyer and Miller (MM) [J. Chem. Phys. 70, 3214 (1979)] presented a classical Hamiltonian corresponding to a finite set of electronic states of a molecular system (i.e., the various potential energy surfaces and their couplings), so that classical trajectory simulations could be carried out treating the nuclear and electronic degrees of freedom (DOF) in an equivalent dynamical framework (i.e., by classical mechanics), thereby describing nonadiabatic dynamics in a more unified manner. Much later Stock and Thoss (ST) [Phys. Rev. Lett. 78, 578 (1997)] showed that the MM model is actually not a ‘model’, but rather a ‘representation’ of the nuclearelectronic system; i.e., were the MMST nuclearelectronic Hamiltonian taken as a Hamiltonian operator and used in the Schrödinger equation, the exact (quantum) nuclearelectronic dynamics would be obtained. In recent years various initial value representations (IVRs) of semiclassical (SC) theory have been used with the MMST Hamiltonian to describe electronically nonadiabatic processes. Of special interest is the fact that though the classical trajectories generated by the MMST Hamiltonian (and which are the ‘input’ for an SCIVR treatment) are 'Ehrenfest trajectories', when they are used within the SCIVR framework the nuclear motion emerges from regions of nonadiabaticity on one potential energy surface (PES) or another, and not on an average PES as in the traditional Ehrenfest model. Examples are presented to illustrate and (hopefully) illuminate this behavior.  
Shaul Mukamel (University of California, Irvine)  Manipulating quantum pathways of matter by coherent nonlinear spectroscopy with classical fields and entangled photons 
Abstract: Joint work with Oleksiy Roslyakk
(Chemistry department, University of California Irvine, USA).
Nonlinear optical spectroscopy is commonly formulated
semiclassically, i.e. letting a quantum material interact with
classical fields. The key quantity in this approach is the
nonlinear polarization, characterizing the microscopic response
of the material to the incoming fields. Its calculation can be
based on either the density matrix or the wave function. The
former involves forward propagation in real time and is
represented by double sided Feynman diagrams in Liouville
space, whereas the latter requires forward and backward
propagation in Hilbert space which is carried out on the
SchwingerKeldysh closed time path loop (CTPL). Such loops are
extensively used in quantum field theory of nonequilibrium
states, but doublesided Feynman diagrams have become a
practical tool for the design and analysis of timedomain
nonlinear optical experiments.
Several fundamental ambiguities which arise in the
semiclassical formulation regarding the intuitive
interpretation of optical signals are resolved by combining the
CTPL with a quantum description of the laser fields. In
nonlinear spectroscopy of single molecules, for example, the
signal cannot be given in terms of a classical response
functions as predicted by the semiclassical theory. Heterodyne
detection can be viewed as a stimulated process and does not
require a classical local oscillator. The quantum nature of
the field requires the introduction of superoperator
nonequilibrium Green’s functions (SNGF), which represent both
response and spontaneous fluctuations of the material. This
formalism allows the computation of nonlinear optical processes
involving any combination of classical and quantum optical
modes. Closed correlationfunction expressions are derived for
the combined effects of causal response and noncausal
spontaneous fluctuations. Coherent three wave mixing (sum
frequency generation (SFG) and parametric down conversion
(PDC)) involving one and two quantum optical modes
respectively, are connected to their incoherent counterparts:
twophotoninduced fluorescence (TPIF) and twophotonemitted
fluorescence (TPEF).
We show how twophoton absorption and homodyne detected
difference frequency generation conducted with entangled
photons can be used to manipulate interference effects and
select desired Liouville space pathways of matter. Recently
several groups have applied entangled photon pairs in nonlinear
spectroscopy (near resonance homodyne detected sumfrequency
generation (SFG), two photon induced fluorescence (TPIF) and
twophoton absorption (TPA). It was demonstrated that the
normally quadratic scaling of the signal with the intensity of
the incoming field becomes linear when using entangled photons.
This indicates that the two photons effectively act as a single
particle, interacting with matter within a narrow time window.
This opens new ways for manipulating nonlinear optical signals
and revealing new matter information otherwise erased by
interference.


Andreas Münch (University of Nottingham)  Dewetting of thin liquid films 
Abstract: We present results on various aspects of thin film models for dewetting films involving high order equations and systems of equations. These include results on the rim instability and the shape of the rim where the liquid dewets, as well as the occurence of nonclassical shocks for fast dewetting where inertia becomes important.  
Ali Nadim (Claremont Graduate University)  A comparison of lumped and field models for electrowetting of sessile drops 
Abstract: After a brief overview of electrohydrodynamics including Maxwell's electric stress tensor under AC fields where the medium has both conductive and dielectric characteristics, we focus on the problem of electrowetting actuation of sessile drops on a patterned array of electrodes with a thin dielectric coating. For both the case when the drop is electrically grounded from below and when it is floating, we compute the electric field in the vicinity of the drop over a range of frequencies and use the traction derived from the Maxwell stress tensor to calculate the effective electrowetting force on the drop. At low frequencies where the drop behaves like a perfect conductor, the results are compared with previously derived lumped parameter models for the electrowetting force. [Joint work with James Sterling and Maged Ismail.]  
Barbara Niethammer (University of Oxford)  Selfsimilar rupture of thin films with strong slip 
Abstract: (Joint work with D. Peschka and A. Muench). We consider a simple model for line rupture of thin fluid films in which Trouton viscosity and vanderWaals forces balance. For this model there exists a oneparameter family of second kind selfsimilar solutions. We establish necessary and sufficient conditions for convergence to any selfsimilar solution in a certain parameter regime. We also present a conjecture on the domains of attraction of all selfsimilar solutions which is supported by numerical simulations.  
Yukiyoshi Ohtsuki (Tohoku University)  Monotonically convergent algorithms for solving quantum optimal control problems in chemistry and physics 
Abstract: We develop monotonically convergent algorithms for solving typical quantum optimal control problems in chemistry and physics. They include (1) statetostate control for a system nonlinearly interacting with a control and (2) operator pulse design under the influence of dissipation. We discuss the solution algorithms in a unified manner. As an application of the first algorithm, we consider the alignment/orientation control of diatomic molecules. The alignment is achieved through the polarizability coupling between shaped laser pulses and molecules. When the retaining of the aligned state is chosen as a physical objective, the control pulse is shown to utilize the socalled "coherent destruction of tunneling" mechanisms. This numerical observation is confirmed by using a simple analytical model. Second application is associated with (2). In quantum information processing and quantum computer, the realization of gate operations in physical systems is essential. As the operations should be done with quite high precision, optimal control approaches could be suitable tools for this purpose. We discuss the possibility through case studies such as quantum algorithm simulations and suppression of decoherence.  
Stanley J. Osher (University of California, Los Angeles)  Bregmanized methods for sparse reconstruction and restoration 
Abstract: We started with a project where we denoised normals to surfaces, then fit the surface to the normals, which we regarded as solving a 4th order PDE via some kind of splitting. This led to remarkably successful algorithms for L1 tpe minimizations, constrained and unconstrained. These include L1, TV, B1,1, nonlocal TV,... Bregman iteration, in its various incarnations popped up and turned out to be unreasonably effective. I'll discuss this which is joint work with many people.  
Ellen Peterson (North Carolina State University), Michael Shearer (North Carolina State University)  Thin fluid films with surfactant 
Abstract: Thin liquid films driven by surface tension are considered, both when gravity plays a significant role, as on an inclined plane, and when it is less significant, on a horizontal substrate. Motion of the film is modeled in the lubrication approximation by a fourth order system of PDE. In the case of a horizontal substrate, we examine the influence of insoluble surfactant both experimentally and numerically. In the experiments, we visualize surfactant using fluorescence, and its effect on the thin film using a laser. The numerical code tracks the edge of the surfactant as it propagates. We also analyze the stability of a thin film wave traveling down an inclined plane driven by both surfactant and gravity. Numerical results show the propagation of small disturbances, thereby substantiating the analysis. This is joint work with Karen Daniels, Dave Fallest, Rachel Levy and Tom Witelski.  
Oleg Prezhdo (University of Washington)  Panel discussion 
Abstract: No Abstract  
JeanPierre Puel (Université Versailles/Saint QuentinenYvelines)  Controllability for a coupled system of Schrödinger equations modeling a trapped ion 
Abstract: We analyse the possibility of control for a coupled system of Schrödinger equations on the whole real line for the harmonic oscillator modeling a single trapped ion. In fact the coupling is due to the control which acts as a potential and which is performed by three monochromatic waves which can be switched on and off, only one of them being active at each time. By taking the frequency of these waves large enough, we show that this sytem can be approximated by a much simpler one, the socalled LawEberly system, for which we can give an explicit control satisfying all requirements. This enables us to prove approximate controllability for the original system in the natural (L^{2})^{2} norms and also in much stronger norms. This work has been done in collaboration with Sylvain Ervedoza.  
Herschel A. Rabitz (Princeton University)  Controlling events at the atomic and molecular scales through Hamiltonian manipulation 
Abstract: Since the development of the laser some 40 years ago, a long standing dream has been to utilize this special source of radiation to manipulate dynamical events at the atomic and molecular scales. Hints that this goal may become a reality began to emerge in the 1990's, due to a confluence of concepts and technologies involving (a) control theory, (b) ultrafast laser sources, (c) laser pulse shaping techniques, and (d) fast pattern recognition algorithms. These concepts and tools have resulted in a high speed instrument configuration capable of adaptively changing the driving laser pulse shapes, approaching the performance of thousands of independent experiments in a matter of minutes. Each particular shaped laser pulse acts as a “Photonic Reagent” much as an ordinary reagent would at the molecular scale. Although a Photonic Reagent has a fleeting existence, it can leave a permanent impact. Current demonstrations have ranged from manipulating simple systems (atoms) out to the highly complex (biomolecules), and applications to quantum information sciences are being pursued. In all cases, the fundamental concept is one of adaptively manipulating quantum systems. The principles involved will be discussed, along with the presentation of the state of the field.  
Herschel A. Rabitz (Princeton University)  Controlling events at the atomic and molecular scales through Hamiltonian manipulation 
Abstract: Since the development of the laser some 40 years ago, a long standing dream has been to utilize this special source of radiation to manipulate dynamical events at the atomic and molecular scales. Hints that this goal may become a reality began to emerge in the 1990's, due to a confluence of concepts and technologies involving (a) control theory, (b) ultrafast laser sources, (c) laser pulse shaping techniques, and (d) fast pattern recognition algorithms. These concepts and tools have resulted in a high speed instrument configuration capable of adaptively changing the driving laser pulse shapes, approaching the performance of thousands of independent experiments in a matter of minutes. Each particular shaped laser pulse acts as a "Photonic Reagent" much as an ordinary reagent would at the molecular scale. Although a Photonic Reagent has a fleeting existence, it can leave a permanent impact. Current demonstrations have ranged from manipulating simple systems (atoms) out to the highly complex (biomolecules), and applications to quantum information sciences are being pursued. In all cases, the fundamental concept is one of adaptively manipulating quantum systems. The principles involved will be discussed, along with the presentation of the state of the field.  
Viswanath Ramakrishna (University of Texas at Dallas)  On a parametrization of the symplectic group with applications to quantum control 
Abstract: The talk will report on a parametrization of the real symplectic group in four dimensions. One feature of this parametrization is that it yields the polar decomposition of a symplectic matrix via the solution of simple quadratic equations. Applications to the study of squeezing transformations will be presented. Extensions to higher dimensions will be discussed.  
Pierre Rouchon (École Nationale Supérieure des Mines de Paris)  Singular perturbations and LindbladKossakowski differential equations 
Abstract: In this joint work with Mazyar Mirrahimi, we consider an ensemble of quantum systems described by a density matrix, solution of a LindbladKossakowski differential equation. We focus on the special case where the decoherence is only due to a highly unstable excited state and where the spontaneously emitted photons are measured by a photodetector. We propose a systematic method to eliminate the fast and asymptotically stable dynamics associated to the excited state in order to obtain another differential equation for the slow part. We show that this slow differential equation is still of LindbladKossakowski type, that the decoherence terms and the measured output depend explicitly on the amplitudes of quasiresonant applied field, i.e., the control. Beside a rigorous proof of the slow/fast (adiabatic) reduction based on singular perturbation theory, we also provide a physical interpretation of the result in the context of coherence population trapping via dark states and decoherencefree subspaces. Numerical simulations illustrate the accuracy of the proposed approximation for a 5level systems.  
Martin Rumpf (Rheinische FriedrichWilhelmsUniversität Bonn)  Natural gradient flow discretization of viscous thin films on curved geometries 
Abstract: The talk will focus on the numerical approximation of the evolution of a thin viscous films on a curved geometry. Here, the concept of natural time discretization for gradient flows is revisited. This is based on an explicit balance between the energy decay and the corresponding dissipation to be invested. In case of thin films the dissipation is formulated in terms of a transport field, whereas the energy primarily depends on the film profile. The velocity field and the film height are coupled by the underlying transport equation. Hence, one is naturally led to a PDE constraint optimization problem and duality techniques from optimization are applied in the minimization algorithm. For the space discretization a discrete exterior calculus approach is investigated. The method can be generalized to the simulate thin coatings.  
Andreas Savin (Université de Paris VI (Pierre et Marie Curie))  Shape optimizer needed 
Abstract: Motivation: It is possible to relate the concept of chemical bond to the region of threedimensional space where the probability to find exactly one pair of electrons is maximal. Characteristics:  The computation of the probability for a given volume chosen can be timeconsuming. It requires the eigenvalues of a matrix having elements computed from integrals over the volume.  The shape derivatives can vary strongly from one part of the delimiting surface to another.  Multiple solutions exist by the nature of the problem. However, the user might have a good intuition of what they are and choose a good starting volume. 

Sonia Schirmer (University of Cambridge)  Hamiltonian and Markovian reservoir engineering for quantum systems 
Abstract: Hamiltonian engineering has been shown to be a powerful technique, which can be applied to many different problems that involve steering a quantum system to achieve a desirable outcome, and a particularly promising approach to Hamiltonian engineering is the optimal control approach, i.e., formulating the problem as an optimization problem. However, the problem formulation is important, and although optimization is a wellestablished field, the solution of the resulting optimization problems is usually not trivial, in part because the search space is usually infinite dimensional. To overcome this obstacle the controls must be parametrized, and the parametrization is critical. The most common approach is to approximate the controls using piecewise constant functions. While adequate for some problems, such a parametrization inevitably leads to high bandwidth solutions due to the discontinuities of the fields. We demonstrate that using more natural parameterizations we can significantly reduce the bandwidth of the fields, although at the expense of having to solve more complex optimization problems. Another crucial variable is the problem formulation itself. Often, optimal control problems are formulated using Hamiltonians that incorporate many approximations, e.g., RWA, offresonant excitations and fixed couplings negligible, etc, which inevitably limit what can be achieved by optimal control. We show that we can in principle speed up the implementation of quantum gates several orders of magnitude compared to conventional frequencyselective geometric control pulses for certain systems by avoiding such approximations and taking advantage of the full range of offresonant excitations and couplings available in the optimal control framework. Another problem with Hamiltonian engineering is that the most effective approaches are modelbased, i.e., we require a model of the system, especially its response to external fields, or the functional dependence on the controls. In some cases this isn't a problem and optimal controls can be designed to be robust with regard to model uncertainties. For other problems, however, such as information transfer through spin networks using simple local actuators, it can be shown that the optimal switching sequences are highly modeldependent, while the exact network topology and precise couplings for such systems are usually not known. Such problems call for closed loop optimization. We show that we can effectively solve problems such as finding optimal switching time sequences for such networks by adapting gradientbased optimization algorithms even for problems where the standard evolutionary algorithms fail completely to find acceptable solutions. Finally, there are certain types of problems that Hamiltonian engineering, although an extremely powerful tool for quantum engineering, cannot solve. One such problem is stabilization in the presence of environmental interactions. This problem can in principle be addressed using reservoir engineering. We consider a variant of Markovian reservoir engineering using direct feedback from an indirect measurement such as homodyne detection. We show that if the control and feedback Hamiltonians in this setting are unrestricted and we have some degree of control over the type of measurement we can perform, then any state can be in principle be stabilized.  
Michael J. Shelley (New York University)  Bodies and boundaries interacting with complex fluids 
Abstract: Most classical and modern studies of swimming, pumping, and mixing in fluids have considered fluids that are Newtonian. All of these phenomena also take place in fluids that are viscoelastic and at low Reynolds number, and are particularly important to biology and to engineering areas such as microfluidics. I will discuss theoretical studies of the effect of viscoelasticity on low Reynolds number undulatory swimming and peristaltic pumping. I will also discuss an example of how symmetry breaking instabilities in extensional flows of a viscoelastic fluid can lead to new coherent structures and fluid mixing.  
Amy Shen (University of Washington)  Microfluidics enhanced novel materials synthesis 
Abstract: The flow of complex fluids in confined geometries produces rich and new phenomena due to the interaction between the intrinsic lengthscales of the fluid and the geometric lengthscales of the device. In this poster, we will show three examples to illustrate how selfassembly, confinement, and flow can be used to control fluid microstructure and enhance the controlled synthesis of biocompatible nanomaterials and supramolecular hydrogels.  
Heinz Siedentop (LudwigMaximiliansUniversität München)  The ground state energy of heavy atoms: Relativistic lowering of the leading energy correction 
Abstract: Formulae for the ground state energy E(Z) of atoms in the limit of large atomic number Z have been a very active area of research. Among the most prominent contributions in the context of Schrödinger operators are the ground breaking work of Lieb and Simon (1977) and the seminal papers of Fefferman and Seco (19891994). However, large Z results for nonrelativistic models are questionable from a physical point of view: the innermost electrons of heavy atoms come close to the nucleus where they move very fast. Therefore, a relativistic model is important. We prove that the leading energy correction, the Scott correction – intuitively due to the innermost electrons – is indeed lowered compared with the Schrödinger case. Our proof is valid up to and including the critical coupling constant. It is based on a renormalization of the energy whose zero level we adjust to be the groundstate energy of the corresponding nonrelativistic problem. This  together with a new GagliaroNierenberg inequality – allows us to roll the proof back to results for the Schrödinger operator. The talk is based on joint work with Rupert Frank and Simone Warzel (both Princeton).  
Linda B. Smolka (Bucknell University)  On the planar extensional motion of an inertiallydriven liquid sheet 
Abstract: We derive a timedependent exact solution of the free surface problem for the NavierStokes equations that describes the planar extensional motion of a viscous sheet driven by inertia. The linear stability of the exact solution to one and twodimensional symmetric perturbations is examined in the inviscid and viscous limits within the framework of the longwave or slender body approximation. Both transient growth and longtime asymptotic stability are considered. For onedimensional perturbations in the axial direction, viscous and inviscid sheets are asymptotically marginally stable, though depending on the Reynolds and Weber numbers transient growth can have an important effect. For onedimensional perturbations in the transverse direction, inviscid sheets are asymptotically unstable to perturbations of all wavelengths. For twodimensional perturbations, inviscid sheets are unstable to perturbations of all wavelengths with the transient dynamics controlled by axial perturbations and the longtime dynamics controlled by transverse perturbations. The asymptotic stability of viscous sheets to onedimensional transverse perturbations and to twodimensional perturbations depends on the capillary number (Ca); in both cases, the sheet is unstable to longwave transverse perturbations for any finite Ca. This work is in collaboration with Thomas P. Witelski.  
Vladimir A. Sobolev (Samara State University)  Explicit, implicit and parametric invariant manifolds for model reduction in chemical kinetics 
Abstract: In this joint work with Elena Shchepakina we use a geometric singular perturbations method for reducing the model order in chemical kinetics problems. The method relies on the theory of integral manifolds, which essentially replaces the original system by another system on an integral manifold with dimension equal to that of the slow subsystem. Explicit, implicit and parametric representations of a slow invariant manifolds are used.  
Vladimir A. Sobolev (Samara State University)  Canards, black swans and control of chemical reactions 
Abstract: In this joint work with Elena Shchepakina we consider a canard trajectory (in the case of scalar slow variable) and a black swan (in the case of vector slow variable) as the result of gluing attractive and repulsive slow integral manifolds, due to the availability of an additional parameter (function in the case of vector slow variable) in the differential system. As a result we obtain the continuous attractive/repulsive slow invariant surface. It is possible to consider the gluing parameter (function) as a special kind of partial feedback control, which guarantees the safety of chemical regimes, even with perturbations, during a chemical process.  
James Springham (University of Leeds), Rob Sturman (University of Leeds)  Effect of boundary conditions on mixing efficiency 
Abstract: We consider the mixing of fluid by chaotic advection. Many wellstudied examples may be modeled by a class of dynamical systems known as linkedtwist maps. The mathematical discipline of ergodic theory studies concepts such as mixing which will be familiar to experimentalists. New analytical results for linkedtwist maps suggest mixing rates similar to those observed experimentally and numerically.  
Rob Sturman (University of Leeds)  Eulerian indicators for predicting mixing efficiency 
Abstract: Mixing is inherently a Lagrangian phenomenon, a property of the movement of fluid particles. Many different methods exist for measuring, quantifying and predicting the quality of a mixing process, all involving evolution of individual trajectories. We propose indicative tools which are formulated using only Eulerian information, and illustrate their use briefly on a variety of different model mixers.  
David J. Tannor (Weizmann Institute of Science)  Panel discussion 
Abstract: No Abstract  
David J. Tannor (Weizmann Institute of Science)  Optimal control of laser cooling: A theory of purity increasing transformations 
Abstract: The powerful techniques of Optimal Control Theory (OCT), used in recent years to design laser pulse sequences to control chemical bond breaking, are applied to the problem of laser cooling in an open system. The result is a striking new mechanism in which spontaneous emission builds coherences between all the populated levels creating a pure state, only at the end of the process transferring the amplitude to the lowest energy state. This novel mechanism accelerates the cooling process by exploiting the cooling induced by spontaneous emission to all the ground electronic state levels, not just the lowest level. The mechanism suggests the calibration of cooling in terms of increasing purity of the system as measured by the quantity Tr(rho2). An analytical theory of the cooling mechanism is developed in terms of a twostage interplay between the control fields and the spontaneous emission. One of the main results of the analytical theory is a differential equation for the optimal cooling rate. The key components of the theory – the definition of cooling as purity increase; the invariance of purity to control fields; and the maximum rate of approach to absolute zero – correspond to the zeroth, second and third law of thermodynamics, providing a thermodynamic framework for laser cooling. The formulation of cooling in terms of the coherence measure Tr(rho2) has an additional, interesting implication: that our results carry over immediately to the problem of control of quantum decoherence, suggesting both a new mechanism and fundamental limitations on the control of that process.  
TzyhJong Tarn (Washington University)  Quantum internal model principle and decoherence control 
Abstract: Decoherence, which is caused due to the interaction of a quantum system with its environment plagues all quantum systems and leads to the loss of quantum properties that are vital for quantum computation and quantum information processing. In this work we propose a novel strategy using techniques from systems theory to completely eliminate decoherence and also provide conditions under which it can be done so. A novel construction employing an auxiliary system, the bait, which is instrumental to decoupling the system from the environment, is presented. This corresponds to the Internal Model Principle for Quantum Mechanical Systems. Almost all the earlier work on decoherence control employ density matrix and stochastic master equations to analyze the problem. Our approach to decoherence control involves the bilinear input affine model of quantum control system which lends itself to various techniques from classical control theory, but with nontrivial modifications to the quantum regime. The elegance of this approach yields interesting results on open loop decouplability and Decoherence Free Subspaces (DFS). Additionally, the feedback control of decoherence may be related to disturbance decoupling for classical input affine systems, which entails careful application of the methods by avoiding all the quantum mechanical pitfalls. The two concepts are contrasted and an improved theory of disturbance decoupling for general input affine systems is developed. In the process of calculating a suitable feedback the system has to be restructured due to its tensorial nature of interaction with the environment, which is unique to quantum systems. Finally the results are also shown to be superior to the ones obtained via master equations. In order to apply feedback a reliable information extraction scheme using continuous indirect measurements with the help of a quantum probe is outlined. Finally, a methodology to synthesize feedback parameters itself is given, that technology permitting, could be implemented for practical 2qubit systems to perform decoherence free Quantum Computing.  
Joseph M. Teran (University of California, Los Angeles)  A secondorder method for Poisson's equation with discontinuous coefficients and singular sources 
Abstract: Numerical simulation of moving interface problems often requires the solution of elliptic PDEs involving coefficients that can be discontinuous and sources that are singular. Since the interface is moving, it is advantageous to solve the problem on a fixed Eulerian grid which does not conform to the interface as it moves. We propose an intuitive new method which acheives second order accurate results in Linfinity on a fixed cartesian grid with embedded interfaces. The method is largely independent of the geometry and the interface can be represented either as an arbitrary (closed) segmented curve or a levelset. The problem is formulated as a variational constrained minimization problem which preserves a symmetric positive definite discretization.  
Burt S. Tilley (Franklin W. Olin College of Engineering)  On countercurrent twolayer flows in thin channels 
Abstract: Twophase gasliquid flows are important in a variety of heat transfer systems, such as in the onchip cooling of microelectromechanical devices up to the infrastructure of safety systems in nuclear power plants. We focus on the case of twolayer flows in inclined channels, where a gas and a liquid, immiscibly separated by a sharp interface with large surface tension, flow in opposite directions. The liquid is driven by gravity while the gas flows due to an imposed pressure gradient. For disturbance wavelengths that are much longer than the channel thickness, a fourthorder nonlinear equation which describes the evolution of the separating interfacial shape is found that is coupled to an elliptic equation for the pressure, whose solution provides a constraint to the dynamics of the flow. We survey the impact of these different constraints on the solutions, and extend the analysis to include incompressibility effects. This work was a collaboration with T.M. Segin and L. Kondic.  
Burt S. Tilley (Franklin W. Olin College of Engineering)  Instabilities and Taylor dispersion in isothermal binary thin fluid films 
Abstract: Joint work with Z. Borden, H. Grandjean, L. Kondic, and A.E. Hosoi. Experiments with glycerolwater thin films flowing down an inclined plane reveal a localized instability that is primarily threedimensional. These transient structures, referred to as "dimples", appear initially as nearly isotropic depressions on the interface. A linear stability analysis of a binary mixture model in which barodiffusive effects dominate over thermophoresis (i.e. the Soret effect) reveals unstable modes when the components of the mixture have different bulk densities and surface tensions. This instability occurs when Fickian diffusion and Taylor dispersion effects are small, and is driven by solutalcapillary stresses arising from gradients in concentration of one component, across the depth of the film. Qualitative comparison between the experiments and the linear stability results over a wide range of parameters is presented.  
Michael Trick (Carnegie Mellon University)  Matters Lecture: Sports Scheduling and the Practice of Operations Research 
Abstract: Major League Baseball is a multibillion dollar per year industry that relies heavily on the quality of its schedule. Teams, fans, TV networks, and even political parties (in a way revealed in the talk) rely on the schedule for profits and enjoyment. Only recently have the computational tools of operations research been powerful enough to address the issue of finding "optimal" schedules. Trick will discuss his experiences in scheduling college basketball, major league baseball, and other sports, and show how operations research is revolutionizing the way sports scheduling is done.  
Donald G. Truhlar (University of Minnesota)  Quantum photochemistry: Incorporation of decoherence in semiclassical treatments of electronically nonadiabatic molecular dynamics 
Abstract: The talk will begin with an introduction to the quantum master equation (Liouvillevon Neumann equation), followed by a discussion of how we have used this equation it in a semiclassical algorithm for calculating of nonBornOppenheimer molecular dynamics. I will also discuss the physical origin of decoherence in electronically nonadiabatic molecular dynamics and our method for estimating the decoherence time. The resulting treatment will be validated against accurate quantum dynamics for small molecular systems.  
Gabriel Turinici (Université de Paris IX (ParisDauphine))  Mathematical modelization and numerical approaches in quantum control 
Abstract: We address in this talk some practical issues that occur in the design of (optimal) control field that manipulate quantum phenomena. After discussing modelization issues (which functional to optimize, to what goal it corresponds etc) several algorithms will be discussed: genetic/evolutionary algorithm, adjoint state (optimal control) approaches and stabilization (Lyapounov) algorithms.  
Gabriel Turinici (Université de Paris IX (ParisDauphine))  Panel discussion 
Abstract: No Abstract  
David Thomas Uminsky (Boston University)  The viscous Nvortex problem: A generalized HelmholtzKirchhoff approach 
Abstract: We give a convergent expansion of solutions of the twodimensional, incompressible NavierStokes equations which generalizes the HelmholtzKirchhoff point vortex model to systematically include the effects of both viscosity and finite core size. The evolution of each vortex is represented by a system of coupled ordinary differential equations for the location of its center, and for the coefficients in the expansion of the vortex with respect to a basis of Hermite functions. The differential equations for the evolution of the moments contain only quadratic nonlinearities and we give explicit combinatorial formulas for the coefficients of these terms. We also show that in the limit of vanishing viscosity and core size we recover the classical HelmholtzKirchhoff point vortex model.  
Rui Vilela Mendes (Instituto Superior Tecnico)  Universal families and quantum control in infinite dimensions 
Abstract: In a topological space, a family of continuous mappings is called universal if its action, in at least one element of the space, is dense. If the mappings are unitary or tracepreserving completely positive, the notion of universality is closely related to the notion of controllability in either closed or open quantum systems. Quantum controllability in infinite dimensions is discussed in this setting and minimal generators are found for full control universal families. Some of the requirements of the operators needed for control in infinite dimensions follow from the properties of the infinite unitary group. Hence, a brief discussed of this group and their appropriate mathematical spaces is also included.  
Guowei Wei (Michigan State University)  High order geometric and potential driving PDEs for image and surface analysis 
Abstract: A family of highorder geometric and potential driving evolution equations was introduced and applied to image analysis and biomolecular surface formation. Coupled geometric PDEs were introduced for image edge detection.  
Thomas Peter Witelski (Duke University)  Coarsening: transient and selfsimilar dynamics in 1D 
Abstract: Motivated by the dewetting of viscous thin films on hydrophobic substrates, we study models for the coarsening dynamics of interacting localized structures in one dimension. For the thin films problem, lubrication theory yields a CahnHilliardtype governing PDE which describes spinodal dewetting and the subsequent formation of arrays of metastable fluid droplets. The evolution for the masses and positions of the droplets can be reduced to a coarsening dynamical system (CDS) consisting of a set of coupled ODEs and deletion rules. Previous studies have established that the number of drops will follow a statistical scaling law, N(t)=O(t^{2/5}). We derive a LifshitzSlyozovWagnertype (LSW) continuous model for the drop size distribution and compare it with discrete models derived from the CDS. Large deviations from selfsimilar LSW dynamics are examined on short to moderatetimes and are shown to conform to bounds given by Kohn and Otto. Insight can be applied to similar models in image processing and other problems in materials science. Joint work with M.B. Gratton (Northwestern Applied Math).  
Wei Xiong (University of Minnesota)  A model for liver homeostasis using a modified meanreverting OrnsteinUhlenbeck process 
Abstract: Short of a liver biopsy, hepatic disease and druginduced liver injury are diagnosed and classified from clinical findings, especially laboratory results. It was hypothesized that a healthy hepatic dynamic equilibrium might be modeled by an OrnsteinUhlenbeck (OU) stochastic process, which might lead to more sensitive and specific diagnostic criteria. Using pooled data from healthy volunteers in pharmaceutical clinical trials, this model was applied using maximum likelihood methods. It was found that the exponent of the autocorrelation function was proportional to the square root of time rather time itself, as predicted by the OU model. This finding suggests a stronger autocorrelation than expected and may have important implications regarding the use of laboratory testing in clinical diagnosis, in clinical trial design, and in monitoring drug safety.  
YiJing Yan (Hong Kong University of Science and Technology)  Quantum dissipation theory: From solvation dynamics to quantum transport 
Abstract: We have recently developed a hierarchical equationsofmotion
(HEOM) approach to nonperturbative and nonMarkovian quantum
dissipation. It is a unified and exact theory for arbitrary
coupling Gaussian environments of distinct nature: bosonic
versus fermionic, and canonical versus grand canonical
ensembles. It admits also an arbitrary timedependent external
field driving. Two systems will be used to elaborate both the
formulation and implementation aspects of the theory.
In an electron transfer (ET) system, the bath environment
serves as a canonical bosonic ensemble, responsible for the
system decoherence and energy relaxation. The validation of
Zusman equation will be discussed, on the basis of exact HEOM
results.
In a quantum transport setup, a molecule or quantum dot is
placed in contact with electrodes under applied voltage. Each
electrode reservoir serves as a grand canonical fermion
ensemble. It is responsible not only for decoherence and energy
relaxation, but also for the fermion particle (i.e., electron)
transport in/out of the system. The HEOMbased quantum
transport theory will be summarized, together with the
calculated transient currents through model quantum dot systems
and the current spectrums in response to various forms of
external timedependent applied voltage.
Support from RGC of Hong Kong Government is acknowledged.
R.X. Xu and Y. J. Yan, Phys. Rev. E, 75, 031107 (2007). J. S. Jin, X. Zheng, and Y. J. Yan, J. Chem. Phys. 128, 234703 (2008). X. Zheng, J. S. Jin, and Y. J. Yan, J. Chem. Phys. 129, 184112 (2008). X. Zheng, J. S. Jin, and Y. J. Yan, New J. Phys. 10, 093016 (2008). 

YiJing Yan (Hong Kong University of Science and Technology), Xiao Zheng (Hong Kong University of Science and Technology)  Quantum dissipation and quantum transport: Exact theory and efficient implementation 
Abstract: Joint work with Jinshuang Jin. We present a hierarchical equationsofmotion (HEOM) formalism of quantum dissipation theory [J. Chem. Phys. 128, 234703 (2008)], which is formally exact, practically tractable, and numerically convergent. It characterizes the transient current transport dynamics of arbitrary dissipative manyelectron systems, in contact with electrodes under arbitrary temperatures and external fields. The HEOM approach provides a useful theoretical tool to study various transient and stationary properties of manybody systems far away from equilibrium. With an efficient hybrid scheme accounting for the bath correlation functions, we demonstrate accurate transient response current driven by timedependent applied voltages in both sequential and cotunneling regimes.  
Anthony J. Yezzi (Georgia Institute of Technology)  Sobolev active contours as alternatives to higherorder flows 
Abstract: We discuss the use of "geometric" (i.e. formulated exclusively in terms of a curve's arclength parameter) Sobolev metrics to devise new gradient flows of curves. We refer to the resulting evolving contours as "Sobolev Active Contours". An interesting property of Sobolev gradient flows is that they stabilize many gradient descent processes that are unstable when formulated in the more traditional L^{2} sense. Furthermore, the order of the gradient flow partial differential equation is reduced when employing the Sobolev metric rather than L^{2}. This greatly facilitates numerical implementation methods since higher order PDE's are replaced by lower order integraldifferential PDE's to minimize the exact same geometric energy functional. The fourth order L^{2} gradient flow for the elastic energy of a curve, for example, is substituted by a second order Sobolev gradient flow for the same energy. In this talk we give some background on Sobolev active contours, show some applications using energy regularizers normally connected with fourth order flows, and present some recent results in visual tracking. Joint work with Ganesh Sundaramoorthi, Andrea Mennucci, Guillermo Sapiro, and Stefano Soatto.  
Wendy W. Zhang (University of Chicago)  Memory as vibration in a disconnecting air bubble 
Abstract: Focusing a finite amount of energy dynamically into a vanishingly small amount of material requires that the initial condition be perfectly symmetric. In reality, imperfections are always present and cutoff the approach towards the focusing singularity. The disconnection of an underwater bubble provides a simple example of this competition between asymmetry and focusing. We use a combination of theory, simulation and experiments to show that the dynamics near disconnection contradicts the prevailing view that the disconnection dynamics converges towards a universal, cylindricallysymmetric singularity. Instead an initial asymmetry in the shape of the bubble neck excites vibrations that persist until disconnection. We argue that such memoryencoding vibrations may arise whenever initial asymmetries perturb the approach towards a singularity whose dynamics has an integrable form.  
Wendy W. Zhang (University of Chicago)  Headon impact of liquid drops 
Abstract: When two point particles collide, the outcome is governed entirely by energy and momentum conservation, with no dependence on the detailed interaction potential. Here we use a Volume of Fluid (VOF) simulation to examine what happens in the analogous case when two liquid drops collide. At low speeds, the liquid drops rebounce elastically, just as seen for point particles. At high speeds, however, a liquid sheet is ejected along the impact plane. When ambient gas pressure is low, both simple estimates and simulation show that the ejection is dominated by inertial effects. This idea enables us to collapse the pressure variation within the liquid drop at early times. In addition we find that surface tension effects are confined to the rim of the expanding sheet and acts primarily to slow the radial expansion.  
Enrique Zuazua (Basque Center for Applied Mathematics)  Waves, numerics, control, dispersion and dissipation 
Abstract: In this lecture we shall present a survey of recent work on several topics related with numerical approximation of waves. Control Theory is by now and old subject, ubiquitous in many areas of Science and Technology. There is a quite wellestablished finitedimensional theory and many progresses have been done also in the context of PDE (Partial Differential Equations). But gluing these two pieces together is often a hard task from a mathematical point of view. This is not a merely mathematical problem since it affects modelling and computational issues. In particular, the following two questions arise: Are finitedimensional and infinitedimensional models equally efficient from a control theoretical point of view? Are controls built for finitedimensional numerical schemes efficient at the continuous level? In this talk we shall briefly analyze these issues for the wave equation as a model example of propagation without damping. We shall show that high frequency spurious oscillations may produce the divergence of the most natural numerical schemes. This confirms the fact that finite and infinitedimensional modelling may give completely different results from the point of view of control. We shall then discuss some remedies like filtering of high frequencies, multigrid techniques and numerical viscosity. Similar questions arise when building numerical approximation schemes for nonlinear Schrödinger equations or in other contexts as when designing, for instance, absorving boundary conditions or developping the method of Perfectly Matched Layers (PML) for the wave equation.  
Enrique Zuazua (Basque Center for Applied Mathematics)  Panel discussion 
Abstract: No Abstract  
Gregory John von Winckel (KarlFranzensUniversität Graz)  Fast and accurate computational techniques for the optimal control of quantum systems 
Abstract: The manipulation and control of quantum systems is fundamental to a host of emerging applications from the design of qubits and novel nanoscale devices, to the control of photochemical reactions as well as atomic and molecular dynamics. Although there are established techniques to simulate the evolution of a quantum system, the problem of finding the control potential which results in a desired evolution is considerably more challenging. Recent contributions to the development of new quantum control methodologies and optimal control formulation are discussed. In particular, the investigation of theoretical issues such as the appropriate choice of function spaces for the control and the nonconvex structure of the optimization problems as well as the interplay between discretization and optimization are considered. Accurate and computationally efficient algorithms for computing the optimal controls which take advantage of the underlying physics are introduced with a focus on KrylovNewton methods for solving controls for fast state transitions in a system. 
Jose Vidal Alcala  Courant Institute of Mathematical Sciences  3/22/2009  3/26/2009 
Hala Al Hajj Shehadeh  New York University  3/22/2009  3/26/2009 
Claudio Altafini  International School for Advanced Studies (SISSA/ISAS)  2/28/2009  3/6/2009 
Donald G. Aronson  University of Minnesota  9/1/2002  8/31/2009 
Jorge Balbas  California State University  3/22/2009  3/26/2009 
André D. Bandrauk  University of Sherbrooke  3/2/2009  3/8/2009 
Leah Bar  University of Minnesota  3/22/2009  3/26/2009 
Vincent Joseph Beltrani  Princeton University  3/1/2009  3/7/2009 
Martine Ben Amar  École Normale Supérieure  3/22/2009  3/26/2009 
Andrew Joel Bernoff  Harvey Mudd College  3/22/2009  3/26/2009 
Anthony Michael Bloch  University of Michigan  3/3/2009  3/6/2009 
Richard J. Braun  University of Delaware  3/22/2009  3/26/2009 
Michael P. Brenner  Harvard University  3/24/2009  3/25/2009 
Susanne C. Brenner  Louisiana State University  3/22/2009  3/26/2009 
HeinzPeter Breuer  AlbertLudwigsUniversität Freiburg  3/1/2009  3/8/2009 
Peter Brune  University of Chicago  9/8/2008  6/30/2009 
Sun Young Bu  University of North Carolina  2/1/2009  5/30/2009 
Irene Burghardt  École Normale Supérieure  3/4/2009  3/8/2009 
MariaCarme T. Calderer  University of Minnesota  9/1/2008  6/30/2009 
Hannah Callender  University of Minnesota  9/1/2007  8/31/2009 
Jamylle Laurice Carter  San Francisco State University  3/22/2009  3/26/2009 
HuiYu Chen  University of Minnesota  3/23/2009  3/26/2009 
Xianjin Chen  University of Minnesota  9/1/2008  8/31/2010 
Rustum Choksi  Simon Fraser University  3/22/2009  3/26/2009 
David F. Coker  Boston University  3/1/2009  3/6/2009 
Benjamin Cook  Areté Associates  3/22/2009  3/26/2009 
JeanMichel Coron  Université de Paris VI (Pierre et Marie Curie)  2/28/2009  3/7/2009 
Darren G. Crowdy  Imperial College London  3/22/2009  3/26/2009 
Linda J. Cummings  New Jersey Institute of Technology  3/22/2009  3/26/2009 
Shibin Dai  Worcester Polytechnic Institute  3/21/2009  3/26/2009 
Domenico D'Alessandro  Iowa State University  3/1/2009  3/3/2009 
Daniel Dix  University of South Carolina  1/1/2009  6/30/2009 
Qiang Du  Pennsylvania State University  3/22/2009  3/26/2009 
Julio Duarte  Eastman Kodak Company  3/23/2009  3/26/2009 
Olivier Dubois  University of Minnesota  9/3/2007  8/31/2009 
Robert S. Eisenberg  Rush University Medical Center  3/22/2009  3/26/2009 
James W. Evans  Iowa State University  3/15/2009  5/22/2009 
Gregory Ezra  Cornell University  2/18/2009  3/7/2009 
Ignacio Franco  Northwestern University  2/28/2009  3/6/2009 
Christopher Fraser  University of Chicago  8/27/2008  6/30/2009 
Eliot Fried  McGill University  3/22/2009  3/26/2009 
Wenhua (Bill) Gao  University of California, Los Angeles  3/22/2009  3/26/2009 
Robin L. Garrell  University of California, Los Angeles  3/22/2009  3/26/2009 
Tryphon T. Georgiou  University of Minnesota  3/1/2009  3/6/2009 
Andreea Grigoriu  Université de Paris IX (ParisDauphine)  2/27/2009  3/7/2009 
Natalie Grunewald  Rheinische FriedrichWilhelmsUniversität Bonn  3/22/2009  3/26/2009 
Shiyuan Gu  Louisiana State University  3/22/2009  3/28/2009 
Thirupathi Gudi  Louisiana State University  3/22/2009  3/27/2009 
Xiaoqing He  University of Minnesota  3/1/2009  3/6/2009 
Mark S. Herman  University of Minnesota  9/1/2008  8/31/2010 
Peter Hinow  University of Minnesota  9/1/2007  8/21/2009 
TakSan Ho  Princeton University  3/1/2009  3/6/2009 
Mary Ann Horn  National Science Foundation  3/31/2009  3/31/2009 
Anette (Peko) Hosoi  Massachusetts Institute of Technology  3/22/2009  3/26/2009 
Jingfang Huang  University of North Carolina  12/30/2008  5/31/2009 
Yanghong Huang  University of California, Los Angeles  3/22/2009  3/25/2009 
Yunkyong Hyon  University of Minnesota  9/1/2008  8/31/2010 
Sharif Ibrahim  Washington State University  3/22/2009  3/26/2009 
Kazufumi Ito  North Carolina State University  3/1/2009  3/6/2009 
Mark Iwen  University of Minnesota  9/1/2008  8/31/2010 
Alexander Izzo  Bowling Green State University  9/1/2008  6/30/2009 
Srividhya Jeyaraman  University of Minnesota  9/1/2008  8/31/2010 
Lijian Jiang  University of Minnesota  9/1/2008  8/31/2010 
Paul Ashton Jones  University of California, Los Angeles  3/22/2009  3/26/2009 
Ning Ju  Oklahoma State University  3/22/2009  3/27/2009 
Chiu Yen Kao  University of Minnesota  3/22/2009  3/26/2009 
Justin C.T. Kao  Massachusetts Institute of Technology  3/22/2009  3/26/2009 
Raymond Kapral  University of Toronto  3/2/2009  3/5/2009 
Markus Keel  University of Minnesota  7/21/2008  6/30/2009 
Navin Khaneja  Harvard University  3/3/2009  3/6/2009 
Lou Kondic  New Jersey Institute of Technology  3/22/2009  3/26/2009 
Ronnie Kosloff  Hebrew University  3/1/2009  3/6/2009 
Karl Kunisch  KarlFranzensUniversität Graz  2/28/2009  3/5/2009 
Claude Le Bris  CERMICS  9/11/2008  5/30/2009 
Federico Lecumberry  University of the Republic  3/23/2009  3/26/2009 
ChiunChang Lee  National Taiwan University  8/26/2008  7/31/2009 
Catalin Lefter  University "Al. I. Cuza" of Iaşi  2/28/2009  3/9/2009 
Stacey E. Levine  Duquesne University  3/22/2009  3/31/2009 
Rachel Levy  Harvey Mudd College  3/22/2009  3/27/2009 
Jichun Li  University of Nevada  3/22/2009  3/26/2009 
Xiaofan Li  Illinois Institute of Technology  3/22/2009  3/26/2009 
Yongfeng Li  University of Minnesota  9/1/2008  8/31/2010 
Daniel Lidar  University of Southern California  3/1/2009  3/4/2009 
Hai Lin  University of Colorado  3/1/2009  5/30/2009 
TaiChia Lin  National Taiwan University  8/23/2008  7/31/2009 
Chun Liu  University of Minnesota  9/1/2008  8/31/2010 
HsiangWei Lu  Harvey Mudd College  3/22/2009  3/26/2009 
Mitchell Luskin  University of Minnesota  9/1/2008  6/30/2009 
Yvon Maday  Université de Paris VI (Pierre et Marie Curie)  3/2/2009  3/6/2009 
Riccardo March  Consiglio Nazionale delle Ricerche (CNR)  3/21/2009  3/26/2009 
Vasileios Maroulas  University of Minnesota  9/1/2008  8/31/2010 
Craig C. Martens  University of California, Irvine  3/3/2009  3/7/2009 
Kevin Mcilhany  U.S. Naval Academy  3/15/2009  3/19/2009 
Kevin W. Mclaughlin  University of Wisconsin  River Falls  1/6/2009  6/30/2009 
David A. Micha  University of Florida  3/2/2009  3/7/2009 
Mario Micheli  University of California, Los Angeles  3/22/2009  3/26/2009 
Michael J. Miksis  Northwestern University  3/22/2009  3/26/2009 
William H. Miller  University of California, Berkeley  3/1/2009  3/4/2009 
Simon Peter Morgan  Los Alamos National Laboratory  3/22/2009  3/28/2009 
Abdul Rehaman Moughal Shahi  Université de Genève  2/2/2009  6/30/2009 
Shaul Mukamel  University of California, Irvine  3/1/2009  3/5/2009 
Andreas Münch  University of Nottingham  3/22/2009  3/26/2009 
Nebo Murisic  University of California, Los Angeles  3/22/2009  3/25/2009 
Ali Nadim  Claremont Graduate University  3/22/2009  3/26/2009 
Kazuyuki Nakagami  Tohoku University  2/28/2009  3/7/2009 
Barbara Niethammer  University of Oxford  3/21/2009  3/26/2009 
James Hilton Nolen  Duke University  3/22/2009  3/25/2009 
Amy NovickCohen  TechnionIsrael Institute of Technology  3/22/2009  3/27/2009 
Adam Oberman  Simon Fraser University  3/22/2009  3/26/2009 
Yukiyoshi Ohtsuki  Tohoku University  2/28/2009  3/7/2009 
Stanley J. Osher  University of California, Los Angeles  3/24/2009  3/26/2009 
Miguel Sebastian Pauletti  University of Maryland  3/22/2009  3/26/2009 
Ellen Peterson  North Carolina State University  3/22/2009  3/25/2009 
Oleg Prezhdo  University of Washington  3/3/2009  3/6/2009 
JeanPierre Puel  Université Versailles/Saint QuentinenYvelines  3/1/2009  3/8/2009 
Mary Pugh  University of Toronto  3/22/2009  3/25/2009 
Herschel A. Rabitz  Princeton University  2/28/2009  3/5/2009 
Viswanath Ramakrishna  University of Texas at Dallas  3/1/2009  3/6/2009 
Nancy Rodriguez  University of California, Los Angeles  3/23/2009  3/27/2009 
Darragh Patrick Rooney  University of Michigan  3/1/2009  3/6/2009 
Pierre Rouchon  École Nationale Supérieure des Mines de Paris  3/1/2009  3/6/2009 
William Rozzi  Eastman Kodak Company  3/23/2009  3/26/2009 
Martin Rumpf  Rheinische FriedrichWilhelmsUniversität Bonn  3/21/2009  3/25/2009 
Julien Salomon  Université de Paris IX (ParisDauphine)  2/27/2009  3/6/2009 
Fadil Santosa  University of Minnesota  7/1/2008  6/30/2010 
Guillermo R. Sapiro  University of Minnesota  3/22/2009  3/26/2009 
Alain Sarlette  Université de Liège  2/28/2009  3/7/2009 
Andreas Savin  Université de Paris VI (Pierre et Marie Curie)  3/22/2009  4/2/2009 
Arnd Scheel  University of Minnesota  9/1/2008  6/30/2009 
Sonia Schirmer  University of Cambridge  2/28/2009  3/7/2009 
L. Ridgway Scott  University of Chicago  9/1/2008  6/30/2009 
Tsvetanka Sendova  University of Minnesota  9/1/2008  8/31/2010 
Yuk Sham  University of Minnesota  9/1/2008  6/30/2009 
Michael Shearer  North Carolina State University  3/22/2009  3/25/2009 
Michael J. Shelley  New York University  3/23/2009  3/26/2009 
Amy Shen  University of Washington  3/22/2009  3/26/2009 
Heinz Siedentop  LudwigMaximiliansUniversität München  1/14/2009  4/21/2009 
Robert D. Skeel  Purdue University  3/29/2009  6/27/2009 
Linda B. Smolka  Bucknell University  3/22/2009  3/26/2009 
Vladimir A. Sobolev  Samara State University  2/16/2009  3/16/2009 
James Springham  University of Leeds  3/22/2009  3/27/2009 
Andrew M. Stein  University of Minnesota  9/1/2007  5/1/2009 
Rob Sturman  University of Leeds  3/22/2009  3/27/2009 
Huan Sun  Pennsylvania State University  2/5/2009  5/31/2009 
Pengtao Sun  University of Nevada  3/22/2009  3/26/2009 
Ganesh Sundaramoorthi  University of California, Los Angeles  3/24/2009  3/27/2009 
Liyeng Sung  Louisiana State University  3/22/2009  3/26/2009 
Peter Takac  Universität Rostock  2/1/2009  3/31/2009 
David J. Tannor  Weizmann Institute of Science  3/1/2009  3/6/2009 
TzyhJong Tarn  Washington University  3/1/2009  3/6/2009 
Joseph M. Teran  University of California, Los Angeles  3/22/2009  3/25/2009 
Minassie Tewoldebrhan  University of Minnesota  3/23/2009  3/26/2009 
Burt S. Tilley  Franklin W. Olin College of Engineering  3/19/2009  3/26/2009 
Chad Michael Topaz  Macalester College  3/23/2009  3/26/2009 
Michael Trick  Carnegie Mellon University  3/4/2009  3/5/2009 
Donald G. Truhlar  University of Minnesota  9/1/2008  6/30/2009 
Gabriel Turinici  Université de Paris IX (ParisDauphine)  2/28/2009  3/6/2009 
Erkan Tüzel  University of Minnesota  9/1/2007  8/7/2009 
David Thomas Uminsky  Boston University  3/22/2009  3/26/2009 
Yves van Gennip  Simon Fraser University  3/22/2009  3/26/2009 
Rui Vilela Mendes  Instituto Superior Tecnico  2/28/2009  3/7/2009 
Gregory John von Winckel  KarlFranzensUniversität Graz  3/2/2009  3/6/2009 
Shawn W. Walker  New York University  3/22/2009  3/26/2009 
Zhian Wang  University of Minnesota  9/1/2007  8/31/2009 
Guowei Wei  Michigan State University  3/22/2009  3/26/2009 
Stephen Wiggins  University of Bristol  1/10/2009  6/30/2009 
JF Williams  Simon Fraser University  3/22/2009  3/26/2009 
Thomas Peter Witelski  Duke University  3/22/2009  3/25/2009 
Wei Xiong  University of Minnesota  9/1/2008  8/31/2010 
Xiang Xu  Pennsylvania State University  1/26/2009  6/1/2009 
YiJing Yan  Hong Kong University of Science and Technology  3/1/2009  3/6/2009 
Ke Yang  University of Minnesota  3/2/2009  3/6/2009 
Anthony J. Yezzi  Georgia Institute of Technology  3/22/2009  3/29/2009 
Nung Kwan Yip  Purdue University  3/22/2009  3/28/2009 
Linghai Zhang  Lehigh University  3/1/2009  3/7/2009 
Wendy W. Zhang  University of Chicago  3/22/2009  3/24/2009 
Xiao Zheng  Hong Kong University of Science and Technology  3/1/2009  3/7/2009 
Weigang Zhong  University of Minnesota  9/1/2008  8/31/2010 
Yu Zhuang  Texas Tech University  3/2/2009  3/6/2009 
Yu Zhuang  Texas Tech University  3/22/2009  3/27/2009 
Enrique Zuazua  Basque Center for Applied Mathematics  3/1/2009  3/7/2009 