Charla 46: Equilibrium states for random non-uniformly expanding maps: uniqueness and stability

Conferencista: Rafael Álvarez

Fecha: Martes 14 de julio de 2020, 4:00 p.m.

Lugar: Videollamada ( Presione el enlace para ingresar)

Resumen:

We prove existence and uniqueness for certain random dynamical systems of the type $F(w, x) = (\theta(w), f_w(x))$, where $\theta$ is an invertible map preserving an ergodic measure $\mathbb{P}$ and $f_w$ are generating functions local homeomorphisms of a compact Riemannian manifold exhibiting some non-uniform expantion. The Hölder continuous potentials are small variation and its equilibrium state vary continuously in the weak topology within such systems. Moreover, we prove decay of correlations for this type of systems.

Join work with Vanessa Ramos