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

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

Abstract

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.

Original language	English
Pages (from-to)	269-285
Number of pages	17
Journal	Taiwanese Journal of Mathematics
Volume	6
Issue number	2
DOIs	https://doi.org/10.11650/twjm/1500407435
Publication status	Published - 1 Jan 2002

Keywords

Dimension theory
Poincaré recurrences
Special flows

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10.11650/twjm/1500407435

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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

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SN - 1027-5487

VL - 6

SP - 269

EP - 285

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

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ER -

Spectra of dimensions for Poincaré recurrences for special flows

Abstract

Keywords

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