Random walks in a Dirichlet environment

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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.
Change in theorem 1

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Probability, 60K37(82D30)

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http://salesiana.dossiersoluciones.com/handle/123456789/74733

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503713
 http://arxiv.org/abs/math/0503713

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arXiv