Étude de l'amplitude d'une marche aléatoire de Bernoulli
Étude de l'estimateur du maximum de vraisemblance dans le cas d'un processus autorégressif : convergence, normalité asymptotique, vitesse de convergence
Etude du spectre pour certains noyaux sur un arbre
Excited against the tide: a random walk with competing drifts
We study excited random walks in i.i.d. random cookie environments in high dimensions, where the th cookie at a site determines the transition probabilities (to the left and right) for the th departure from that site. We show that in high dimensions, when the expected right drift of the first cookie is sufficiently large, the velocity is strictly positive, regardless of the strengths and signs of subsequent cookies. Under additional conditions on the cookie environment, we show that the limiting...
Excited random walk.
Excited random walk on trees.
Existence of positive harmonic functions on groups and on covering manifolds
Expansion and random walks in : I
We prove that the Cayley graphs of are expanders with respect to the projection of any fixed elements in generating a Zariski dense subgroup.
Expansion and random walks in : II
Exposants critiques pour le mouvement brownien et les marches aléatoires
Factorization representations in the boundary crossing problems for random walks on a Markov chain.
Factorizations of the sojourn times of semi-Markov random walks.
Filtration d'une marche aléatoire stationnaire sur le cercle
First hitting times of simple random walks on graphs with congestion points.
First occurrence time of a large density fluctuation for a system of independent random walks
Frequent points for random walks in two dimensions.
From shuffling cards to walking around the building: An introduction to modern Markov chain theory.
Functional laws of the iterated logarithm for local times of recurrent random walks on
Gaussian lower bounds for random walks from elliptic regularity
Generic result for the existence of a free semi-group