Entropy via random perturbations

Author:
Yuri Kifer

Journal:
Trans. Amer. Math. Soc. **282** (1984), 589-601

MSC:
Primary 58F15; Secondary 58F30, 58G32

DOI:
https://doi.org/10.1090/S0002-9947-1984-0732108-0

MathSciNet review:
732108

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Abstract | References | Similar Articles | Additional Information

Abstract: The entropy of a dynamical system on a hyperbolic attractor with respect to the Bowen-Ruelle-Sinai measure is obtained as a limit of entropy characteristics of small random perturbations of . 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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1984-0732108-0

Keywords:
Hyperbolic attractor,
diffusion process,
entropy

Article copyright:
© Copyright 1984
American Mathematical Society