Limit theorems for partially hyperbolic systems

被引：134

作者：

Dolgopyat, D ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[2] Univ Maryland, Inst Phys Sci & Technol, College Pk, MD 20742 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 04期

关键词：

partial hyperbolicity; central limit theorem; Gibbs measure; absolute continuity;

D O I：

10.1090/S0002-9947-03-03335-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a large class of partially hyperbolic systems containing, among others, affine maps, frame flows on negatively curved manifolds, and mostly contracting diffeomorphisms. If the rate of mixing is sufficiently high, the system satisfies many classical limit theorems of probability theory.

引用

页码：1637 / 1689

页数：53

共 93 条

[1]

13Gordin M. I., 1969, Sov. Math. Dokl., V10, P1174

[2] SRB measures for partially hyperbolic systems whose central direction is mostly expanding [J].