Ergodic properties of equilibrium measures for smooth three dimensional flows
Ergodic properties of equilibrium measures for smooth three dimensional flows
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DOI：
10.4171/cmh/378
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
Franccois Ledrappier;Yuri Lima;O. Sarig
中科院分区：
文献类型：
--
作者：
Franccois Ledrappier;Yuri Lima;O. Sarig
设T^t是紧致光滑三维流形上具有正速度和正拓扑熵的光滑流，且是最大熵的遍历测度.我们证明了T^t是Bernoulli，或者T^t同构于Bernoulli流和旋转流的乘积。给出了Reeb Flow的应用实例。
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.