4 papers · 1 filter
On multidimensional branching random walks in random environment
Francis Comets, Serguei Popov
We study branching random walks in random i.i.d. environment in . For this model, the population size cannot decrease, and a natural definition of recurrence is int…
Distributed Algorithms in an Ergodic Markovian Environment
Francis Comets, Francois Delarue, Rene Schott
We provide a probabilistic analysis of the banker algorithm when transition probabilities may depend on time and space. The transition probabilities evolve, as time goes by, along…
Directed Polymers in Random Environment are Diffusive at Weak Disorder
Francis Comets, Nobuo Yoshida
In this paper, we consider directed polymers in random environment with discrete space and time. For transverse dimension at least equal to 3, we prove that diffusivity holds for t…
A law of large numbers for random walks in random mixing environments
Francis Comets, Ofer Zeitouni
We prove a law of large numbers for a class of multidimensional random walks in random environments where the environment satisfies appropriate mixing conditions, which hold when t…