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Random walks in a Dirichlet environment
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Christophe Sabot, Université Lyon 1
Nathanaël Enriquez, Université Paris 6
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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.
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Full text: PDF
Pages: 802-816
Published on: September 1, 2006
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Electronic Journal of Probability. ISSN: 1083-6489 |
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