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Power-law decay of weights and recurrence of the two-dimensional VRJP by Kozma, Gady; Peled, Ron is a scholarly article available to read on EtoBox.

What is Power-law decay of weights and recurrence of the two-dimensional VRJP about?

The vertex-reinforced jump process (VRJP) is a form of self-interacting random walk in which the walker is biased towards returning to previously visited vertices with the bias depending linearly on the local time at these vertices. We prove that, for any initial bias, the weights sampled from the magic formula on a two-dimensional graph decay at least at a power-law rate. Via arguments of Sabot and Zeng, the result implies that the VRJP is recurrent in two dimensions for any initial bias.

Author

Kozma, Gady; Peled, Ron

Published

2019

Language

EN