Limit theorems for reinforced random walks on certain trees

被引：11
|
作者：
Collevecchio, Andrea [1 ]
机构：
[1] Univ Annunzio, I-65127 Pescara, Italy
来源：
PROBABILITY THEORY AND RELATED FIELDS | 2006年 / 136卷 / 01期
关键词：
Random Walk; Limit Theorem; Random Environment; White Vertex; Reversible Markov Chain;
D O I：
10.1007/s00440-005-0476-x
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：
Consider a linearly edge-reinforced random walk defined on the b-ary tree, b >= 70. We prove the strong law of large numbers for the distance of this process from the root. We give a sufficient condition for this strong law to hold for general edge-reinforced random walks and random walks in a random environment. We also provide a central limit theorem.
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页码：81 / 101
页数：21
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