27 citations · 28 across the 3 of their papers we have counts for
6 papers
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…
Spectral Analysis of a Self-Similar Sturm-Liouville Operator
Christophe Sabot
In this text we describe the spectral nature (pure point or continuous) of a self-similar Sturm-Liouville operator on the line or the half-line. This is motivated by the more gener…
Ballistic random walks in random environment at low disorder
Christophe Sabot
We consider random walks in a random environment of the type p_0+γξ_z, where p_0 denotes the transition probabilities of a stationary random walk on \BbbZ^d, to nearest neighbors,…
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…
Schrödinger operators on fractal lattices with random blow-ups
Christophe Sabot
Starting from a finitely ramified self-similar set we can construct an unbounded set by blowing-up the initial set . We consider random blow-ups and prove ele…
Spectral properties of self-similar lattices and iteration of rational maps
Christophe Sabot
In this text we consider discrete Laplace operators defined on lattices based on finitely-ramified self-similar sets, and their continuous analogous defined on the self-similar set…