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 Electronic Journal of Probability > Vol. 11 (2006) > Paper 31 open journal systems 


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 Zd, 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.


Full text: PDF

Pages: 802-816

Published on: September 1, 2006


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Electronic Journal of Probability. ISSN: 1083-6489