410 citations
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Showing 2019 · math.DSShow all
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math.DS2019★ 1 cited
Hausdorff measure of sets of distributional chaotic pairs for shift maps
Dalian Yuan, Ercai Chen, Zijie Lin
Let be a shift map. For an interval , let denote the set of pairs for which the density spectrum of the…
math.DS2019
Topological pressure, mistake functions and average metric
Chen Ercai, He Shen, Zhou Xiaoyao
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 exte…