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arXiv · 1911.08671

Topological pressure, mistake functions and average metric

Chen Ercai·He Shen·Zhou Xiaoyao
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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.

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Chen Ercai, He Shen, Zhou Xiaoyao. 2019-11-20. Topological pressure, mistake functions and average metric. https://arxiv.org/abs/1911.08671

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