Recurrence of a Weighted Random Walk on a Circle Packing with Parabolic Carrier
Probability
2022-03-08 v1
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.
Keywords
Cite
@article{arxiv.1910.12796,
title = {Recurrence of a Weighted Random Walk on a Circle Packing with Parabolic Carrier},
author = {Ori Gurel-Gurevich and Matan Seidel},
journal= {arXiv preprint arXiv:1910.12796},
year = {2022}
}
Comments
26 pages, 9 figures