Topological pressure and topological entropy of a semigroup of maps (Q717873)
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scientific article; zbMATH DE number 5955074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological pressure and topological entropy of a semigroup of maps |
scientific article; zbMATH DE number 5955074 |
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Topological pressure and topological entropy of a semigroup of maps (English)
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10 October 2011
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Using the Caratheodory-Pesin structure with respect to an arbitrary subset, the topological pressure and topological entropy, introduced for a single continuous map, is generalized to the cases of a semigroup of continuous maps. Topological pressure and lower and upper capacity topological pressure of a semigroup of maps are defined and studied. The relation between two kinds of topological entropies of a semigroup of maps is studied and some properties are shown.
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semigroup of continuous maps
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Caratheodory-Pesin structure
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topological pressure
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topological entropy
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