62 citations · 139 across the 3 of their papers we have counts for
4 papers
An asymptotic result for Brownian polymers
Thomas Mountford, Pierre Tarrès
We consider a model of the shape of a growing polymer introduced by Durrett and Rogers (Probab. Theory Related Fields 92 (1992) 337--349). We prove their conjecture about the asymp…
Attracting edge and strongly edge reinforced walks
Vlada Limic, Pierre Tarrès
The goal is to show that an edge-reinforced random walk on a graph of bounded degree, with reinforcement weight function taken from a general class of reciprocally summable rei…
Vertex-reinforced random walk on Z eventually gets stuck on five points
Pierre Tarres
Vertex-reinforced random walk (VRRW), defined by Pemantle in 1988, is a random process that takes values in the vertex set of a graph G, which is more likely to visit vertices it h…
Generalized Urn Models of Evolutionary Processes
Michel Benaim, Sebastian J. Schreiber, Pierre Tarres
Generalized Polya urn models can describe the dynamics of finite populations of interacting genotypes. Three basic questions these models can address are: Under what conditions doe…