Li-Yorke sensitivity for semigroup actions (Q2440083)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Li-Yorke sensitivity for semigroup actions |
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Li-Yorke sensitivity for semigroup actions (English)
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27 March 2014
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The author introduces and studies the concept of Li-Yorke sensitivity for semigroup actions \((X,G)\). In particular, he proves that a nontrivial topologically weakly mixing system \((X,G)\) (with \(X\) a compact set and \(G\) an abelian semigroup) is Li-Yorke sensitive.
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semigroup action
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Li-Yorke sensitivity
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dynamical system
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transitive action
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periodic point
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