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arXiv:1910.12796 [math.PR]AbstractReferencesReviewsResources

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

Ori Gurel-Gurevich, Matan Seidel

Published 2019-10-28Version 1

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.

Comments: 26 pages, 9 figures
Categories: math.PR
Subjects: 60J10
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