Random walks in a Dirichlet environment

Details Random walks in a Dirichlet environment Random walks in a Dirichlet environment

2005-03-30

arxiv.org/abs/math/0503713v2

Mathematics

Probability

Change in theorem 1

Scientific paper

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.

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