Random walks in a Dirichlet environment

Nathanaël Enriquez; Christophe Sabot

Random walks in a Dirichlet environment

概率论 2007-05-23 v2

作者: Nathanaël Enriquez , Christophe Sabot

摘要

This paper states a law of large numbers for a random walk in a random iid environment on ${\mathbb Z}^d$ , where the environment follows some Dirichlet distribution. Moreover, we give explicit bounds for the asymptotic velocity of the process and also an asymptotic expansion of this velocity at low disorder.

关键词

random walk in random environment random walks random walk on graphs

引用

@article{arxiv.math/0503713,
  title  = {Random walks in a Dirichlet environment},
  author = {Nathanaël Enriquez and Christophe Sabot},
  journal= {arXiv preprint arXiv:math/0503713},
  year   = {2007}
}

备注

Change in theorem 1

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