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Article Dans Une Revue Electronic Journal of Probability Année : 2006

Random walks in a Dirichlet environment

Résumé

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.

Dates et versions

hal-00011153 , version 1 (11-10-2005)

Identifiants

Citer

Nathanaël Enriquez, Christophe Sabot. Random walks in a Dirichlet environment. Electronic Journal of Probability, 2006, 11 (31), pp.802-817. ⟨10.1214/EJP.v11-350⟩. ⟨hal-00011153⟩
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