## Electronic Journal of Probability

### Random Walks in a Dirichlet Environment

#### 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.

#### Article information

Source
Electron. J. Probab., Volume 11 (2006), paper no. 31, 802-816.

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

https://projecteuclid.org/euclid.ejp/1464730566

Digital Object Identifier
doi:10.1214/EJP.v11-350

Mathematical Reviews number (MathSciNet)
MR2242664

Zentralblatt MATH identifier
1109.60087

Rights