Topological pressure of proper map
arXiv:1604.02678 · doi:10.1016/j.chaos.2017.10.014
Abstract
Based on the Carathéodory -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.