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Showing 1 to 2 of 2 for “"reinforced random walk"”.
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Superprobability on Graphs
The classical random walk isomorphism theorems relate the local times of a continuous-time random walk to the square of a Gaussian free field. The Gaussian free field is a spin system (or sigma model) that takes values in Euclidean space; in this work, we generalise the classical isomorphism …
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Studies in Statistical Mechanics and Supersymmetric Lattice Models
… models on regular 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 …