Ergodic properties of equilibrium measures for smooth three dimensional flows

François Ledrappier; Yuri Lima; Omri Sarig

doi:10.4171/CMH/378

Ergodic properties of equilibrium measures for smooth three dimensional flows

François Ledrappier, Yuri Lima, Omri Sarig

Department of Mathematics

Weizmann Institute of Science

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

Abstract

Let {T^t} be a smooth flow with positive speed and positive topological entropy on a compact smooth three dimensional manifold, and let μ be an ergodic measure of maximal entropy. We show that either {T^t} is Bernoulli, or {T^t} is isomorphic to the product of a Bernoulli flow and a rotational flow. Applications are given to Reeb flows.

Original language	English
Pages (from-to)	65-106
Number of pages	42
Journal	Commentarii Mathematici Helvetici
Volume	91
Issue number	1
DOIs	https://doi.org/10.4171/CMH/378
State	Published - 2 Mar 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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Ergodic properties of equilibrium measures for smooth three dimensional flows

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