Random Walks in a Dirichlet Environment

Christophe Sabot (Université Lyon 1)
Nathanaël Enriquez (Université Paris 6)

Abstract


This paper states a law of large numbers for a random walk in a random iid environment on $Z^d$, 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.

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Pages: 802-816

Publication Date: September 1, 2006

DOI: 10.1214/EJP.v11-350

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