An ergodic-theoretical approach to the chaotic behaviour of dynamical systems (Q794329)
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scientific article; zbMATH DE number 3860040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An ergodic-theoretical approach to the chaotic behaviour of dynamical systems |
scientific article; zbMATH DE number 3860040 |
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An ergodic-theoretical approach to the chaotic behaviour of dynamical systems (English)
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1983
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This is a survey paper about ergodic theoretical results for one- dimensional maps with special emphasis on recent developments in Japan. The topics covered are: (1) Number-theoretical transformations (in particular the \(\beta\)-transformation), (2) Unimodal linear transformations, (3) Fredholm theory for the Perron-Frobenius operator and its relation to zeta-functions.
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survey
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one-dimensional maps
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Number-theoretical transformations
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Unimodal linear transformations
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Fredholm theory
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zeta-functions
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