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.

1. Zero entropy factors of topological flows

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 Unpublished notes.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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