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arXiv · 2303.01738

Variational principle for neutralized Bowen topological entropy

Rui Yang·Ercai Chen·Xiaoyao Zhou
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Abstract

Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as $$B_n(x,e^{-n\epsilon})=\{y\in X: d(T^jx, T^jy)<e^{-n\epsilon}, \forall 0\leq j\leq n-1\}.$$ We introduce the notion of neutralized Bowen topological entropy of subsets by neutralized Bowen open ball, and establish variational principles for neutralized Bowen topological entropy of compact subsets in terms of neutralized Brin-Katok local entropy and neutralized Katok's entropy.

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Rui Yang, Ercai Chen, Xiaoyao Zhou. 2023-03-03. Variational principle for neutralized Bowen topological entropy. https://arxiv.org/abs/2303.01738

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