THE HAUSDORFF DIMENSION OF HORSESHOES UNDER RANDOM PERTURBATIONS

被引：4
|
作者：
Shu, Lin [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
STOCHASTICS AND DYNAMICS | 2009年 / 9卷 / 01期
关键词：
Bowen ball; fiber topological entropy; future generic point; horseshoe; hyperbolic RDS; relativized entropy; relativized pressure; TRANSFORMATIONS; ENTROPY; SETS;
D O I：
10.1142/S0219493709002609
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 study the distribution of the set of future generic points for an ergodic measure of a bundle random dynamical system; and prove that the Hausdorff dimension of a two dimensional horseshoe is stable under random perturbations.
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页码：101 / 120
页数：20
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