Ergodicity of non-autonomous discrete systems with non-uniform expansion
Dynamical Systems
2018-11-26 v1
Abstract
We study the ergodicity of non-autonomous discrete dynamical systems with non-uniform expansion. As an application we get that any uniformly expanding finitely generated semigroup action of local diffeomorphisms of a compact manifold is ergodic with respect to the Lebesgue measure. Moreover, we will also prove that every exact non-uniform expandable finitely generated semigroup action of conformal local diffeomorphisms of a compact manifold is Lebesgue ergodic.
Keywords
Cite
@article{arxiv.1811.08922,
title = {Ergodicity of non-autonomous discrete systems with non-uniform expansion},
author = {Pablo G. Barrientos and Abbas Fakhari},
journal= {arXiv preprint arXiv:1811.08922},
year = {2018}
}