An upper bound for the box dimension of the hyperbolic dynamics via unstable pressure
Dynamical Systems
2024-05-22 v1
Abstract
In this paper, we utilize the sub-additive unstable pressure to give an upper bound for the upper box dimension of the hyperbolic set on unstable manifolds. As a by-product, we give a new expression of the topological pressure. This work is inspired by \cite{FS, WCZ, CliPZ}.
Keywords
Cite
@article{arxiv.2306.13898,
title = {An upper bound for the box dimension of the hyperbolic dynamics via unstable pressure},
author = {Congcong Qu},
journal= {arXiv preprint arXiv:2306.13898},
year = {2024}
}