Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions

被引：41

作者：

Field, M ^{[1
]}

Melbourne, I

Török, A

机构：

[1] Univ Houston, Dept Math, Houston, TX 77204 USA

[2] Romanian Acad, Math Inst, RO-70700 Bucharest, Romania

[3] Univ Surrey, Dept Math & Stat, Guildford GU2 7XH, Surrey, England

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2003年 / 23卷

关键词：

D O I：

10.1017/S0143385702000901

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Holder continuous observations on hyperbolic basic sets satisfy strong statistical properties such as exponential decay of correlations, central limit theorems and invariance principles (approximation by Brownian motion). Using an equivariant version of the Ruelle transfer operator studied by Parry and Pollicott, we obtain similar results for equivariant observations on compact group extensions of hyperbolic basic sets.

引用

页码：87 / 110

页数：24

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