Ergodic Properties of Equilibrium Measures for Smooth Three Dimensional Flows

نویسنده

  • OMRI SARIG
چکیده

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.

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تاریخ انتشار 2015