Variational principle for weighted amenable topological pressure
Dynamical Systems
2023-07-10 v2
Abstract
This paper aims to investigate the thermodynamic formalism of weighted amenable topological pressure for factor maps of amenable group actions. Following the approach of Tsukamoto [\emph{Ergodic Theory Dynam. Syst.} \textbf{43}(2023), 1004-1034.], we introduce the notion of weighted amenable topological pressure for factor maps of amenable group actions, and establish a variational principle for it. As the application of variational principle, we show weighted amenable measure-theoretic entropy can be determined by weighted amenable topological pressure. Equilibrium states of weighted topological pressure are also involved.
Cite
@article{arxiv.2306.15509,
title = {Variational principle for weighted amenable topological pressure},
author = {Jiao Yang and Ercai Chen and Rui Yang and Xiaoyi Yang},
journal= {arXiv preprint arXiv:2306.15509},
year = {2023}
}
Comments
28 pages