Statistical properties of one-dimensional maps with critical points and singularities

被引：25

作者：

Diaz-Ordaz, K.

Holland, M. P.

Luzzatto, S.

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

[2] Univ Exeter, Sch Engn, Exeter EX4 4QF, Devon, England

来源：

STOCHASTICS AND DYNAMICS | 2006年 / 6卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1142/S0219493706001852

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove that a class of one-dimensional maps with an arbitrary number of nondegenerate critical and singular points admits an induced Markov tower with exponential return time asymptotics. In particular the map has an absolutely continuous invariant probability measure with exponential decay of correlations for Holder observations.

引用

页码：423 / 458

页数：36

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