2 papers
math.PR2008
Brunet-Derrida behavior of branching-selection particle systems on the line
Jean Bérard, Jean-Baptiste Gouéré
We consider a class of branching-selection particle systems on similar to the one considered by E. Brunet and B. Derrida in their 1997 paper "Shift in the velocity of a front…
math.PR2004
Asymptotics of a two-dimensional sticky random walk
Jean Bérard
We study the asymptotic behavior of a Markov chain on that corresponds to the two-dimensional marginals of a reinforcement process on . Thre…