Multi-excited random walks on integers
成果类型：
Article
署名作者：
Zerner, MPW
署名单位：
Eberhard Karls University of Tubingen
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-004-0417-0
发表日期：
2005
页码：
98-122
关键词：
摘要：
We introduce a class of nearest-neighbor integer random walks in random and non-random media, which includes excited random walks considered in the literature. At each site the random walker has a drift to the right, the strength of which depends on the environment at that site and on how often the walker has visited that site before. We give exact criteria for recurrence and transience and consider the speed of the walk.
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