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Showing 2004 · math.PRShow all
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math.PR2004★ 62 cited
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…
math.PR2004★ 37 cited
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…
math.PR2004
Strong disorder for a certain class of directed polymers in a random environment
Philippe Carmona, Francesco Guerra, Yueyun Hu +1
We study a model of directed polymers with an exponentially recurrent Markov chain and an indefinitely divisible random environment. We prove that the normalized partition function…