Asymptotic direction for random walks in random environments

François Simenhaus

doi:10.1016/j.anihpb.2006.10.003

Asymptotic direction for random walks in random environments

概率论 2015-06-26 v2

作者: François Simenhaus

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摘要

In this paper we study the property of asymptotic direction for random walks in random i.i.d. environments (RWRE). We prove that if the set of directions where the walk is transient is non empty and open, the walk admits an asymptotic direction. The main tool to obtain this result is the construction of a renewal structure with cones. We also prove that RWRE admits at most two opposite asymptotic directions.

关键词

random walk in random environment random walk on graphs random walks

引用

@article{arxiv.math/0512388,
  title  = {Asymptotic direction for random walks in random environments},
  author = {François Simenhaus},
  journal= {arXiv preprint arXiv:math/0512388},
  year   = {2015}
}

备注

revised version

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