Scale pressure for amenable group actions
Dynamical Systems
2020-12-03 v1
Abstract
In this paper we introduce the notion of scale pressure and measure theoretic scale pressure for amenable group actions. A variational principle for amenable group actions is presented. We also describe these quantities by pseudo-orbits. Moreover, we prove that if is a finitely generated countable discrete amenable group, then the scale pressure of coincides with the scale pressure of with respect to pseudo-orbits.
Keywords
Cite
@article{arxiv.2012.00920,
title = {Scale pressure for amenable group actions},
author = {Dandan Cheng and Qian Hao and Zhiming Li},
journal= {arXiv preprint arXiv:2012.00920},
year = {2020}
}