Recurrence of a weighted random walk on a circle packing with parabolic carrier

Ori Gurel-Gurevich; Matan Seidel

doi:https://doi.org/10.1007/s11856-022-2286-6

Recurrence of a weighted random walk on a circle packing with parabolic carrier

Ori Gurel-Gurevich, Matan Seidel

The Hebrew University of Jerusalem, Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	547-591
Number of pages	45
Journal	Israel Journal of Mathematics
Volume	247
Issue number	2
DOIs	https://doi.org/10.1007/s11856-022-2286-6
State	Published - Apr 2022

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1007/s11856-022-2286-6

Cite this

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title = "Recurrence of a weighted random walk on a circle packing with parabolic carrier",

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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AB - 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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JO - Israel Journal of Mathematics

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Recurrence of a weighted random walk on a circle packing with parabolic carrier

Abstract

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