Spectra of dimensions for Poincaré recurrences for special flows

V. Afraimovich; J. R. Chazottes; E. Ugalde

doi:10.11650/twjm/1500407435

Spectra of dimensions for Poincaré recurrences for special flows

V. Afraimovich
, J. R. Chazottes
, E. Ugalde

Universidad Autónoma de San Luis Potosi

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove the variational principle for dimensions for Poincaré recurrences, in the case of invariant sets of dynamical systems with continuous time. To achieve this goal we show that these dimensions can be expressed as roots of a non-homogeneous Bowen equation.

langue originale	Anglais
Pages (de - à)	269-285
Nombre de pages	17
journal	Taiwanese Journal of Mathematics
Volume	6
Numéro de publication	2
Les DOIs	https://doi.org/10.11650/twjm/1500407435
état	Publié - 1 janv. 2002

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10.11650/twjm/1500407435

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@article{6c7075e52f9f4c47b5493f9e446b3b60,

title = "Spectra of dimensions for Poincar{\'e} recurrences for special flows",

abstract = "We prove the variational principle for dimensions for Poincar{\'e} recurrences, in the case of invariant sets of dynamical systems with continuous time. To achieve this goal we show that these dimensions can be expressed as roots of a non-homogeneous Bowen equation.",

keywords = "Dimension theory, Poincar{\'e} recurrences, Special flows",

author = "V. Afraimovich and Chazottes, \{J. R.\} and E. Ugalde",

year = "2002",

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doi = "10.11650/twjm/1500407435",

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journal = "Taiwanese Journal of Mathematics",

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AU - Chazottes, J. R.

AU - Ugalde, E.

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N2 - We prove the variational principle for dimensions for Poincaré recurrences, in the case of invariant sets of dynamical systems with continuous time. To achieve this goal we show that these dimensions can be expressed as roots of a non-homogeneous Bowen equation.

AB - We prove the variational principle for dimensions for Poincaré recurrences, in the case of invariant sets of dynamical systems with continuous time. To achieve this goal we show that these dimensions can be expressed as roots of a non-homogeneous Bowen equation.

KW - Dimension theory

KW - Poincaré recurrences

KW - Special flows

U2 - 10.11650/twjm/1500407435

DO - 10.11650/twjm/1500407435

M3 - Article

AN - SCOPUS:0040078147

SN - 1027-5487

VL - 6

SP - 269

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JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

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Spectra of dimensions for Poincaré recurrences for special flows

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