Limit theorems for reinforced random walks on certain trees
成果类型：
Article
署名作者：
Collevecchio, Andrea
署名单位：
G d'Annunzio University of Chieti-Pescara
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-005-0476-x
发表日期：
2006
页码：
81-101
关键词：
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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