Xin Liu

Postdoctoral Fellow

Institute for Mathematics and its Applications

University of Minnesota, Minneapolis, MN 55455.

Email address: liuxin@ima.umn.edu.

Office phone: 612-626-1307.

CV

Research Statement

Teaching Statement

Education

  • Ph.D. in Statistics and Operations Research, May 2011.
    Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
    Advisor: Professor Amarjit Budhiraja.
    Ph.D. Thesis: "Multiscale Diffusion Approximations for Stochastic Networks in Heavy Traffic."
  • M.S. in Statistics, December 2009.
    Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.
  • B.S. in Mathematics, July 2006.
    Department of Mathematics, University of Science and Technology of China.

Research interests

  • Diffusion approximations for stochastic networks
  • Stability and control for stochastic networks
  • Stochastic analysis
  • Stochastic modeling
  • Splitting algorithms for rare events in Stochastic networks
  • Applications of probability and statistics to revenue management, finance, healthcare, biology, etc.

Publications and preprints

  • Multiscale diffusion approximations for stochastic networks in heavy traffic (with Amarjit Budhiraja), Stochastic Processes and their Applications, 121(3): 630-656, 2011. pdf
  • Action time sharing policies for ergodic control of Markov chains (with Amarjit Budhiraja and Adam Shwartz), SIAM J. Control Optim. 50, pp. 171-195, 2012. pdf
  • Stability properties for Markov modulated constrained diffusion processes (with Amarjit Budhiraja), to appear in Mathematics of Operations Research. pdf
  • Dynamic scheduling for Markov modulated single-server multiclass queueing systems in heavy traffic (with Amarjit Budhiraja and Arka Ghosh), submitted. pdf
  • Pricing and parameter estimation for competing sellers (with William Cooper), working paper.
  • Dynamic scheduling of multiclass queueing networks with asymptotically subcritical servers (with Amarjit Budhiraja), in preparation.

Work in progress

  • Stochastic modelling for order book dynamics (with Qi Gong and V. Kurkarni).
  • Splitting algorithms for rare events in semimartingale reflected Brownian motions (with Kevin Leder).

Teaching experience

School of Statistics, University of Minnesota.

  • Instructor (with full responsibility): Theory of Statistics I (STAT 5105), Fall 2012.

Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.

  • Instructor (with full responsibility):
    • Introduction to Statistics (STOR 155), Summer 2009 and Fall 2010;
    • Basic Statistics (STOR 151), Spring 2008, Summer 2008 and Spring 2009.
  • Guest Lecturer: Stochastic Analysis (STOR 836), Fall 2010.
  • Undergraduate mentor: Undergraduate Modeling Workshop in SAMSI, May 17 – 21, 2010.
  • Teaching Assistant: Basic Statistics, Fall 2006; Introduction to probability, Spring 2007.

Awards

  • Laha Travel Award, Institute of Mathematical Statistics, 2011.
  • Excellence in Teaching Award, Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, 2010.
  • Travel award for Stochastic Networks Workshop, Cambridge, UK, 2010.
  • Graduate Student Fellowship, Statistical and Applied Mathematical Sciences Institute (SAMSI), 2009.
  • Outstanding Student Scholarships, University of Science and Technology of China, 2002 – 2005.

Invited talks

  • INFORMS Annual Meeting, Phoenix, AZ, October 14 - 17, 2012.
  • INFORMS International Meeting, Beijing, China, June 24 - 27, 2012.
  • School of Statistics, University of Minnesota, April 19, 2012.
  • Department of Mathematics, Rutgers University, April 3, 2012.
  • Postdoc seminar, Institute for Mathematics and its Applications, November 22, 2011.
  • School of Mathematics, University of Minnesota, November 4, 2011.

Contributed talks

  • 14th Meeting of New Researchers in Statistics and Probability, University of California, San Diego, CA, July 26 - 28, 2012 (Poster).
  • Seminar on Stochastic Processes, University of Kansas, Lawrence, KS, March 22 - 24, 2012.
  • Joint Statistical Meetings, Miami, July 30 - August 4, 2011.
  • STOR Colloquium, Department of Statistics and Operations Research, University of North Carolina at Chapel Hill, November 17, 2010.
  • 34th Conference on Stochastic Processes and Their Applications, Osaka, Japan, September 6 - 10, 2010.
  • Joint Statistical Meetings, Vancouver, Canada, July 31 - August 5, 2010.
  • The 4th Annual Graduate Student Probability Conference, Duke University, April 30 - May 2, 2010.
  • Stochastic Networks Workshop, Cambridge, UK, March 22 - 26, 2010 (Poster).
  • Workshop on Theory and Qualitative Behavior of Stochastic Dynamics, SAMSI, February 8 - 10, 2010 (Poster).

Statistical consulting experience

Department of Statistics and Operations Research, University of North Carolina at Chapel Hill.

  • Consultant (with J.S. Marron and X. Qiao) on "Statistical Analysis of Phenotypic Characterization of Class III Malocclusion", March 2008.
    Client: S. Frazier-Bowers, Department of Orthodontics, University of North Carolina at Chapel Hill.
  • Consultant (with J.S. Marron) on "Statistical Analysis of Correlations between AS markers and OS markers", April 2008.
    Client: I. Tchivilev, UNC McAllister Heart Institute, University of North Carolina at Chapel Hill.

Professional service

Co-organizer for

  • The 4th Annual Graduate Student Probability Conference, Duke University, April 30 - May 2, 2010.
  • The 3rd Annual Graduate Student Probability Conference, University of North Carolina at Chapel Hill, May 1 - 3, 2009.

Referee for

  • Bernoulli, Discrete Event Dynamic Systems, Mathematics of Operations Research, Journal of Applied Probability.