Topological pressure, mistake functions and average metric
Dynamical Systems
2019-11-21 v1
Abstract
In this paper, we showed that the Pesin pressure of any subset under a mistake function is equal to the classical Pesin pressure of the subset in dynamical systems. Our result extended the result of [1] in additive case, which proved the topological pressure of the whole system is self adaptable under a mistake function. As an application, we showed that the Pesin pressure defined by average metric is equal to the classical Pesin pressure.
Cite
@article{arxiv.1911.08671,
title = {Topological pressure, mistake functions and average metric},
author = {Chen Ercai and He Shen and Zhou Xiaoyao},
journal= {arXiv preprint arXiv:1911.08671},
year = {2019}
}
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7 pages