论文标题

光滑的沿阵骨理论中的不稳定熵

Unstable entropy in smooth ergodic theory

论文作者

Tahzibi, Ali

论文摘要

在这项调查中,我们回想起沿着不稳定层压的措施和熵分解的基本概念。我们回顾了平滑的厄蒙文理论中不稳定熵的某些作用,包括所谓的不变性原理,玛格丽斯的最大熵,物理措施和刚性的措施。我们还提供了一些新的例子,并提出了一些开放的问题。

In this survey we recall basic notions of disintegration of measures and entropy along unstable laminations. We review some roles of unstable entropy in smooth ergodic theory including the so-called invariance principle, Margulis construction of measures of maximal entropy, physical measures and rigidity. We also give some new examples and pose some open questions.

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