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

Ori Gurel-Gurevich; Matan Seidel

doi: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

Access to Document

10.1007/s11856-022-2286-6

Cite this

@article{248c9d3414a741579ab38448580bb624,

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.",

author = "Ori Gurel-Gurevich and Matan Seidel",

note = "Publisher Copyright: {\textcopyright} 2022, The Hebrew University of Jerusalem.",

year = "2022",

month = apr,

doi = "10.1007/s11856-022-2286-6",

language = "الإنجليزيّة",

volume = "247",

pages = "547--591",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Recurrence of a weighted random walk on a circle packing with parabolic carrier

AU - Gurel-Gurevich, Ori

AU - Seidel, Matan

PY - 2022/4

Y1 - 2022/4

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85125620108&partnerID=8YFLogxK

U2 - 10.1007/s11856-022-2286-6

DO - 10.1007/s11856-022-2286-6

M3 - مقالة

SN - 0021-2172

VL - 247

SP - 547

EP - 591

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this