Invariant measures for higher-rank hyperbolic abelian actions-Reference-Cited by-同舟云学术

Invariant measures for higher-rank hyperbolic abelian actions

Published:1996-08 Issue:4 Volume:16 Page:751-778
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Katok A.,Spatzier R. J.

Abstract

AbstractWe investigate invariant ergodic measures for certain partially hyperbolic and Anosov actions of ℝk, ℤkandWe show that they are either Haar measures or that every element of the action has zero metric entropy.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference28 articles.

1. Local rigidity for certain groups of toral automorphisms

2. Discrete Subgroups of Semisimple Lie Groups

3. First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity

4. On the fundamental ideas of measure theory;Rohklin;A.M.S. Transl. (I),1962

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