Invited Speaker - Pierre Collet (CNRS/École Polytechnique)

Title:

Quasi Stationary Distributions for Dynamical Systems and Stochastic Processes.

Abstract:

Quasi stationary distributions describe the long time statistics of trajectories which avoid a hole in the phase space. One is mainly interested in proving the existence of such objects, and deriving their properties (like for example the absolute continuity with respect to a natural reference measure). Another important question is the rate of convergence of the distribution of the process conditioned to have avoided the hole up to a large time (the Yaglom limit). We will describe in particular results for stochastic population dynamics of biological traits.

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