English

A variational principle for entropy of a random dynamical system

Dynamical Systems 2024-03-13 v1

Abstract

In this article, I give a definition of topological entropy for random dynamical systems associated to an infinite countable discrete amenable group action. I obtain a variational principle between the topological entropy and measurable fiber entropy of a random dynamical system.

Keywords

Cite

@article{arxiv.2403.07488,
  title  = {A variational principle for entropy of a random dynamical system},
  author = {Yuan Lian},
  journal= {arXiv preprint arXiv:2403.07488},
  year   = {2024}
}
R2 v1 2026-06-28T15:17:00.248Z