A zero-one law for planar random walks in random environment
成果类型：
Article
署名作者：
Zerner, MPW; Merkl, F
署名单位：
Stanford University; University of Bielefeld; Technion Israel Institute of Technology
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
2001
页码：
1716-1732
关键词：
摘要：
We solve the problem posed by S. A. Kalikow whether the event that the x-coordinate of a random walk in a two-dimensional random environment approaches infinity has necessarily probability either zero or one. The answer is yes if we assume the environment to be i.i.d. and in general no if we allow the environment to be just stationary and ergodic.