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Stronger Version Sensitivity, Almost Finite to One Extension and Maximal Pattern Entropy

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Abstract

In this paper, we introduce thick r-sensitivity, multi-r-sensitivity and block thick r-sensitivity for \(r\ge 2\). We first give a characterization of a minimal system which is block thickly r-sensitive. Then we obtain a sufficient condition of a minimal system which is thickly r-sensitive. The maximal pattern entropy of a multi-r-sensitive topological dynamical system is also discussed.

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  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, China

    Yong Zou

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  1. Yong Zou
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Zou, Y. Stronger Version Sensitivity, Almost Finite to One Extension and Maximal Pattern Entropy. Commun. Math. Stat. 5, 123–139 (2017). https://doi.org/10.1007/s40304-017-0104-y

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  • DOI: https://doi.org/10.1007/s40304-017-0104-y

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