BRANCHING STRUCTURE FOR THE TRANSIENT (1, R)-RANDOM WALK IN RANDOM ENVIRONMENT AND ITS APPLICATIONS

被引：12

作者：

Hong, Wenming ^{[1
]}

Zhang, Lin

机构：

[1] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2010年 / 13卷 / 04期

关键词：

Random walk; random environment; multi-type branching process; Wald's equality; law of large numbers; RECURRENCE; LAW;

D O I：

10.1142/S0219025710004188

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An intrinsic multi-type branching structure within the transient (1, R)-RWRE is revealed. The branching structure enables us to specify the density of the absolutely continuous invariant measure for the Markov chain of environments seen from the particle and reprove the LLN with a drift explicitly in terms of the environment.

引用

页码：589 / 618

页数：30

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