29.10.2018 16:15 Tobias Hurth (EPFL, Schweiz):
Random switching between deterministic vector fieldsMI 03.06.011 (Boltzmannstr. 3, 85748 Garching)

We consider a class of random dynamical systems characterized by Poissonian switching between deterministic vector fields on a finite-dimensional smooth manifold. If we record both the position of the switching trajectory on the manifold and the current driving vector field, we obtain a two-component Markov process. In this talk, we will discuss sufficient conditions for exponential convergence in total variation to the invariant measure of the associated Markov semigroup, and illustrate these conditions through several examples. The talk is based on work with Michel Benaïm and Edouard Strickler.