Entropy via random perturbations

Yuri Kifer

doi:10.1090/S0002-9947-1984-0732108-0

Entropy via random perturbations

Yuri Kifer^*

^*Corresponding author for this work

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

4 Scopus citations

Abstract

The entropy of a dynamical system S^t on a hyperbolic attractor with respect to the Bowen-Ruelle-Sinal measure is obtained as a limit of entropy characteristics of small random perturbations (FORMULA PRESENTED). Both the case of perturbations only in some neighborhood of an attractor and global perturbations of a flow with hyperbolic attracting sets are considered.

Original language	English
Pages (from-to)	589-601
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	282
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1984-0732108-0
State	Published - Apr 1984
Externally published	Yes

Keywords

Diffusion process
Entropy
Hyperbolic attractor

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10.1090/S0002-9947-1984-0732108-0

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AB - The entropy of a dynamical system St on a hyperbolic attractor with respect to the Bowen-Ruelle-Sinal measure is obtained as a limit of entropy characteristics of small random perturbations (FORMULA PRESENTED). Both the case of perturbations only in some neighborhood of an attractor and global perturbations of a flow with hyperbolic attracting sets are considered.

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KW - Hyperbolic attractor

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Entropy via random perturbations

Abstract

Keywords

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