Entry Times Distribution for Dynamical Balls on Metric Spaces

被引：2

作者：

Haydn, N. ^{[1
]}

Yang, F. ^{[1
]}

机构：

[1] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2017年 / 167卷 / 02期

关键词：

Entry times; Return times; Bowen balls; Dynamics balls; Young towers; Conformal maps; Gibbs states; HITTING TIMES; ERROR TERMS; LIMIT LAWS; RECURRENCE; VISITS; SYSTEMS; NUMBER; RATES;

D O I：

10.1007/s10955-017-1745-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the entry and return times for dynamical balls (Bowen balls) is exponential for systems that have an -mixing invariant measure with certain regularities. We also show that systems modeled by Young's tower has exponential entry time distribution for dynamical balls. We also apply the results to conformal maps and expanding maps on the interval.

引用

页码：297 / 316

页数：20

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