6 citations · 7 across the 4 of their papers we have counts for
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An example of Brunet-Derrida behavior for a branching-selection particle system on
Jean Bérard
We consider a branching-selection particle system on with particles. During a branching step, each particle is replaced by two new particles, whose positions are sh…
Large Deviations of the Front in a one dimensional model of
Jean Bérard, Alejandro Ramírez
We investigate the probabilities of large deviations for the position of the front in a stochastic model of the reaction on the integer lattice in which particles…
Coupling times with ambiguities for particle systems and applications to context-dependent DNA substitution models
Jean Bérard, Didier Piau
We define a notion of coupling time with ambiguities for interacting particle systems, and show how this can be used to prove ergodicity and to bound the convergence time to equili…
Central Limit Theorem for the Excited Random Walk in dimension
Jean Bérard, Alejandro Ramírez
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension .