On mixing properties of compact group extensions of hyperbolic systems

被引：59

作者：

Dolgopyat, D ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16801 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2002年 / 130卷 / 1期

关键词：

D O I：

10.1007/BF02764076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study compact group extensions of hyperbolic diffeomorphisms. We relate mixing properties of such extensions with accessibility properties of their stable and unstable laminations. We show that generically the correlations decay faster than any power of time. In particular, this is always the case for ergodic semisimple extensions as well as for stably ergodic extensions of Anosov diffeomorphisms of infranilmanifolds.

引用

页码：157 / 205

页数：49

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