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Showing 1 to 2 of 2 for “"VRJP"”.
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Studies in Statistical Mechanics and Supersymmetric Lattice Models
… tree graphs: the vertex-reinforced jump process (VRJP), a random walk that prefers to jump to previously visited sites, and the $\mathbb{H}^{2|2}$-model, a lattice spin system whose spins take values in a supersymmetric extension of the hyperbolic plane. Both models undergo a phase transition, and …
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Superprobability on Graphs
… theorems, implies our main theorem on the VRJP, namely, that it is recurrent in two dimensions for any translation invariant finite-range initial jump rates. We also use supersymmetric hyperbolic sigma models to study the arboreal gas. This is a model of unrooted random forests on a graph, …