Tuesday, January 15, 2013 - 11:30am - 12:20pm
Mark Freidlin (University of Maryland)
I will consider long time influence of small deterministic and stochastic perturbations of various dynamical systems
and stochastic processes. The long time evolution of the perturbed system can be described by a motion in the cone
of invariant measures of the non-perturbed system. The set of extreme points of the cone can be often parametrized
by a graph or by an open book. The slow component of the perturbed system, is a process on this object.
Friday, September 28, 2012 - 9:00am - 9:50am
Konstantin Mischaikow (Rutgers, The State University Of New Jersey )
Conley theory has proven to be a useful tool for the analysis of global dynamics.
Its power arises from the fact that the index provides information about the existence
and structure of dynamics, but remains constant as long as isolation is preserved.
In particular, it allows one to compute or model the dynamics using one - preferably
simple to understand - system and draw conclusions about the dynamics of other systems.

The motivation for the work discussed is that there are a variety of problems which arise in study of
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