Récurrences de Poincaré et entropie d'un flot suspendu

Jean René Chazottes

doi:10.1016/S0764-4442(01)01888-2

Récurrences de Poincaré et entropie d'un flot suspendu

Translated title of the contribution: Poincaré recurrences and entropy of suspended flows

Jean René Chazottes

University of São Paulo

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a formula giving the metric entropy of an ergodic flow suspended over a weakly specified subshift with positive entropy by using recurrence-time properties of generic orbits. This is a partial generalization to suspended flows of a formula by Ornstein and Weiss established for maps.

Translated title of the contribution	Poincaré recurrences and entropy of suspended flows
Original language	French
Pages (from-to)	739-744
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	8
DOIs	https://doi.org/10.1016/S0764-4442(01)01888-2
Publication status	Published - 15 Apr 2001
Externally published	Yes

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abstract = "We prove a formula giving the metric entropy of an ergodic flow suspended over a weakly specified subshift with positive entropy by using recurrence-time properties of generic orbits. This is a partial generalization to suspended flows of a formula by Ornstein and Weiss established for maps.",

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AB - We prove a formula giving the metric entropy of an ergodic flow suspended over a weakly specified subshift with positive entropy by using recurrence-time properties of generic orbits. This is a partial generalization to suspended flows of a formula by Ornstein and Weiss established for maps.

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DO - 10.1016/S0764-4442(01)01888-2

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SN - 0764-4442

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JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 8

ER -

Récurrences de Poincaré et entropie d'un flot suspendu

Abstract

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