Polynomial decay of the mixing field for the 2D VRJP with bounded conductances implies almost sure recurrence for constant conductances.
Probability on trees and networks, volume 42 of Cambridge Series in Statistical and Probabilistic Mathematics
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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.