EXPONENTIAL RETURN TIMES IN A ZERO-ENTROPY PROCESS

被引：0

作者：

Grzegorek, Paulina ^{[1
]}

Kupsa, Michal ^{[2
]}

机构：

[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

[2] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague, Czech Republic

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 03期

关键词：

Return time; distribution function; entropy; exponential distribution; ASYMPTOTICS;

D O I：

10.3934/cpaa.2012.11.1339

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct a zero-entropy weakly mixing finite-valued process with the exponential limit law for return resp. hitting times. This limit law is obtained in almost every point, taking the limit along the full sequence of cylinders around the point. Till now, the exponential limit law for return resp. hitting times, taking the limit along the full sequence of cylinders, have been obtained only in positive-entropy processes satisfying some strong mixing conditions of Rosenblatt type.

引用

页码：1339 / 1361

页数：23

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