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math.PR2005★ 1 cited
Random walks in a Dirichlet environment
Nathanaël Enriquez, Christophe Sabot
This paper states a law of large numbers for a random walk in a random iid environment on , where the environment follows some Dirichlet distribution. Moreover, we g…
math.PR2003
Random walks in random environment: What a single trajectory tells
Omer Adelman, Nathanaël Enriquez
We present a procedure that determines the law of a random walk in an iid random environment as a function of a single "typical" trajectory. We indicate when the trajectory charact…
math.PR2002
A note on edge oriented reinforced random walks and RWRE
N. Enriquez, C. Sabot
This work introduces the notion of edge oriented reinforced random walk which proposes in a general framework an alternative understanding of the annealed law of random walks in ra…