Large deviations for maps with indifferent fixed points

被引：21

作者：

Pollicott, M

Sharp, R

Yuri, M

机构：

[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

[2] Sapporo Med Univ, Dept Business Adm, Toyohira Ku, Sapporo, Hokkaido 062, Japan

来源：

NONLINEARITY | 1998年 / 11卷 / 04期

关键词：

D O I：

10.1088/0951-7715/11/4/023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish results on the distribution of pre-images with respect to the absolutely continuous invariant measure for certain systems with indifferent periodic points. This proves to be somewhat more delicate than in the uniformly hyperbolic case. We apply these results to the one-dimensional Manneville-Pomeau equation and other one-dimensional examples. We also consider higher dimensional analogues.

引用

页码：1173 / 1184

页数：12

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