Return time statistics via inducing

被引：46

作者：

Bruin, H

Saussol, B

Troubetzkoy, S

Vaienti, S

机构：

[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands

[2] Univ Picardie, Lab Amiernois Math Fondamentales & Appl, F-80039 Amiens 1, France

[3] CNRS Marseille Luminy, Federat Rech Unites Math, Inst Math Luminy, F-13288 Marseille 9, France

[4] CNRS Marseille Luminy, Federat Rech Unites Math, Ctr Phys Theor, F-13288 Marseille 9, France

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2003年 / 23卷

关键词：

D O I：

10.1017/S0143385703000026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the return time statistics of a dynamical system do not change if one passes to an induced (i.e. first return) map. We apply this to show exponential return time statistics in (i) smooth interval maps with nowhere-dense critical orbits and (ii) certain interval maps with neutral fixed points. The method also applies to (iii) certain quadratic maps of the complex plane.

引用

页码：991 / 1013

页数：23

共 51 条

[1] ERGODIC-THEORY FOR MARKOV FIBERED SYSTEMS AND PARABOLIC RATIONAL MAPS [J].