Entropy pairs for a measure-Reference-Cited by-同舟云学术

Entropy pairs for a measure

Published:1995-08 Issue:4 Volume:15 Page:621-632
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Blanchard F.,Host B.,Maass A.,Martinez S.,Rudolph D. J.

Abstract

AbstractWe define entropy pairs for an invariant measure µ on a topological dynamical system (X, T), and show they allow one to construct the maximal topological factorwith entropy 0 for µ. Then we prove that for any µ, a µ-entropy pair is always topologically so, and the reverse is true when (X, T) is uniquely ergodic.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

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2. [3] Burton R. and Rothstein A. . Isomorphism in ergodic theory. Unpublished notes.

3. An Application of Ergodic Theory to Probability Theory

4. Une classe de systemes pour lesquels la conjecture de Pinsker est vraie

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