Ergodicity of non-autonomous discrete systems with non-uniform expansion

2018/11/21 by Barrientos, Pablo G., Fakhari, Abbas · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1811.08922

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 C^1+α 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 C^1+α local diffeomorphisms of a compact manifold is Lebesgue ergodic.

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• Several stronger forms of transitivity in non-autonomous discrete dynamical systems

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