ASYMPTOTIC BEHAVIOR FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

被引：0

作者：

Mao Mingzhi ^{[1
]}

Li Zhimin ^{[2
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China

[2] Anhui Inst Sci & Technol, Dept Appl Math & Phys, Wuhu 241000, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 05期

基金：

中国国家自然科学基金;

关键词：

random walk; random environment; central limit theorem; law of large numbers; renewal structure; LARGE DEVIATIONS; LARGE NUMBERS; LAW;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we mainly discuss the asymptotic behavior for multi-dimensional continuous-time random walk in random environment with holding times. By constructing a renewal structure and using the point "environment viewed from the particle", under General Kalikow's Condition, we show the law of large numbers (LLN) and central limit theorem (CLT) for the escape speed of random walk.

引用

页码：1696 / 1708

页数：13

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