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2006 Random Walks in a Dirichlet Environment
Christophe Sabot, Nathanaël Enriquez
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Electron. J. Probab. 11: 802-816 (2006). DOI: 10.1214/EJP.v11-350

Abstract

This paper states a law of large numbers for a random walk in a random iid environment on $Z^d$, 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.

Citation

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Christophe Sabot. Nathanaël Enriquez. "Random Walks in a Dirichlet Environment." Electron. J. Probab. 11 802 - 816, 2006. https://doi.org/10.1214/EJP.v11-350

Information

Accepted: 1 September 2006; Published: 2006
First available in Project Euclid: 31 May 2016

zbMATH: 1109.60087
MathSciNet: MR2242664
Digital Object Identifier: 10.1214/EJP.v11-350

Subjects:
Primary: 60K37
Secondary: 82D30

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Vol.11 • 2006
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