On fluctuations and the exponential statistics of return times (Q2707014)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fluctuations and the exponential statistics of return times |
scientific article |
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On fluctuations and the exponential statistics of return times (English)
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2 July 2001
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recurrence
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dynamical systems
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hyperbolic systems
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speed of convergence
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entropy
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The paper focuses on the exponential statistics of return times. Dealing with measure-preserving dynamical systems, an issue of computing the speed of convergence to this limiting law is addressed. It is shown that for an arbitrary dynamical system, the existence of an exponential statistic for the return times implies the equivalence between the fluctuations of the empirical entropies and the repetition times.
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