Edge-reinforced random walk , Vertex-Reinforced Jump Process and the supersymmetric hyperbolic sigma model

Abstract

Edge-reinforced random walk (ERRW), introduced by Coppersmith and Diaconis in 1986 [5], is a random process that takes values in the vertex set of a graph G, which is more likely to cross edges it has visited before. We show that it can be interpreted as an annealed version of the Vertex-reinforced jump process (VRJP), conceived by Werner and first studied… (More)

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