EXPONENTIAL MIXING FOR SKEW PRODUCTS WITH DISCONTINUITIES

被引：17

作者：

Butterley, Oliver ^{[1
]}

Eslami, Peyman ^{[2
]}

机构：

[1] Univ Vienna, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[2] Univ Roma Tor Vergata, Dipartimento Matemat 2, Via Ric Sci, I-00133 Rome, Italy

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 369卷 / 02期

基金：

欧洲研究理事会;

关键词：

Exponential mixing; skew product; oscillatory cancellation; transfer operator; partially hyperbolic; PIECEWISE EXPANDING MAPS; STATISTICAL PROPERTIES; DYNAMICAL-SYSTEMS; ANOSOV-FLOWS; SUSPENSION SEMIFLOWS; SURFACE SEMIFLOWS; DECAY; RECURRENCE; STABILITY; RATES;

D O I：

10.1090/tran/6761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the 2D skew product F : (x, u) -> (f(x), u + tau(x)), where the base map f is a piecewise l(2), covering and uniformly expanding the map of the circle, and the fibre map tau is piecewise l(2). We show that this system mixes exponentially when tau is not cohomologous (via a Lipschitz function) to a piecewise constant.

引用

页码：783 / 803

页数：21

共 33 条

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