Feldman-Katok pseudo-orbits and topological pressure
Dynamical Systems
2023-05-09 v1
Abstract
In this paper we introduce the notion of Feldman-Katok pseudo-orbits and use it to study topological pressure. We prove that the topological pressure of a dynamical system can be computed by measuring the Feldman-Katok pseudo-orbits complexity of the shift map on the potential function, which extends Barge and Swanson's result on entropy and pseudo-orbits \cite{pse2}.
Keywords
Cite
@article{arxiv.2305.04057,
title = {Feldman-Katok pseudo-orbits and topological pressure},
author = {Cai fangzhou},
journal= {arXiv preprint arXiv:2305.04057},
year = {2023}
}