Topological pressure of proper map
Dynamical Systems
2018-02-14 v1
Abstract
Based on the Carath\'eodory -Pesin structure theory[11], we introduce three notions of topological pressure of a proper map and provide some properties of these notions. For the proper map of a locally compact separable metric space, we prove some variational principles and give some applications. These are the extensions of results of Pesin, Takens and Verbiski, etc.
Cite
@article{arxiv.1604.02678,
title = {Topological pressure of proper map},
author = {Dongkui Ma and Nuanni Fan},
journal= {arXiv preprint arXiv:1604.02678},
year = {2018}
}