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Ergodic properties of equilibrium measures for smooth three dimensional flows

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 نشر من قبل Yuri Lima
 تاريخ النشر 2015
  مجال البحث
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Let ${T^t}$ be a smooth flow with positive speed and positive topological entropy on a compact smooth three dimensional manifold, and let $mu$ 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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