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arXiv · 1910.12796

Recurrence of a Weighted Random Walk on a Circle Packing with Parabolic Carrier

Ori Gurel-Gurevich·Matan Seidel
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Abstract

In this paper we show that given a circle packing of an infinite planar triangulation such that its carrier is parabolic, placing weights on the edges according to a certain natural way introduced by Dubejko, makes the random walk recurrent. We also propose a higher-dimensional analogue of the Dubejko weights.

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Ori Gurel-Gurevich, Matan Seidel. 2019-10-28. Recurrence of a Weighted Random Walk on a Circle Packing with Parabolic Carrier. https://doi.org/10.1007/s11856-022-2286-6

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