Polynomial decay of the mixing field for the 2D VRJP with bounded conductances implies almost sure recurrence for constant conductances.
Dy nkin isomorphism and Mermin–Wagner theorems for hyperbolic sigma models and recurrence of the t wo-dimensional vertex-reinforced jump process
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Polynomial localization of the 2D-Vertex Reinforced Jump Process
Polynomial decay of the mixing field for the 2D VRJP with bounded conductances implies almost sure recurrence for constant conductances.