Topological entropy of free semigroup actions for noncompact sets (Q1757434)

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scientific article; zbMATH DE number 6997702
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Topological entropy of free semigroup actions for noncompact sets
scientific article; zbMATH DE number 6997702

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    Topological entropy of free semigroup actions for noncompact sets (English)
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    4 January 2019
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    The authors introduce and investigate the notions of topological entropy and lower and upper capacity topological entropies of a free semigroup action by using the Carathéodory-Pesin structure, which extends the notion of topological entropy of a free semigroup action defined by \textit{A. Bufetov} [J. Dyn. Control Syst. 5, No. 1, 137--143 (1999; Zbl 0949.37001)].
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    free semigroup actions
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    topological entropy
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    skew-product
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    local entropy
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    Hausdorff dimension
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