Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure

Eviatar B. Procaccia; Jiayan Ye; Yuan Zhang

doi:10.30757/ALEA.v18-56

Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure

Eviatar B. Procaccia, Jiayan Ye, Yuan Zhang

Ben-Gurion University of the Negev

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

Abstract

In this paper we prove that the stationary harmonic measure of an infinite set in the upper planar lattice can be represented as the proper scaling limit of the classical harmonic measure of truncations of the infinite set.

Original language	English
Pages (from-to)	1529-1560
Number of pages	32
Journal	Alea
Volume	18
Issue number	1
DOIs	https://doi.org/10.30757/ALEA.v18-56
State	Published - 1 Jan 2021

Keywords

Diffusion limited aggregation
harmonic measure
stationary diffusion limited aggregation
stationary harmonic measure

All Science Journal Classification (ASJC) codes

Statistics and Probability

Access to Document

10.30757/ALEA.v18-56

Cite this

@article{8851f29c852e42179196ffe36b63f2db,

title = "Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure",

abstract = "In this paper we prove that the stationary harmonic measure of an infinite set in the upper planar lattice can be represented as the proper scaling limit of the classical harmonic measure of truncations of the infinite set.",

keywords = "Diffusion limited aggregation, harmonic measure, stationary diffusion limited aggregation, stationary harmonic measure",

author = "Procaccia, {Eviatar B.} and Jiayan Ye and Yuan Zhang",

note = "Publisher Copyright: {\textcopyright} 2010 Mathematics Subject Classification.",

year = "2021",

month = jan,

day = "1",

doi = "10.30757/ALEA.v18-56",

language = "الإنجليزيّة",

volume = "18",

pages = "1529--1560",

journal = "Alea",

issn = "1980-0436",

publisher = "Instituto Nacional de Matematica Pura e Aplicada",

number = "1",

}

TY - JOUR

T1 - Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure

AU - Procaccia, Eviatar B.

AU - Ye, Jiayan

AU - Zhang, Yuan

PY - 2021/1/1

Y1 - 2021/1/1

N2 - In this paper we prove that the stationary harmonic measure of an infinite set in the upper planar lattice can be represented as the proper scaling limit of the classical harmonic measure of truncations of the infinite set.

AB - In this paper we prove that the stationary harmonic measure of an infinite set in the upper planar lattice can be represented as the proper scaling limit of the classical harmonic measure of truncations of the infinite set.

KW - Diffusion limited aggregation

KW - harmonic measure

KW - stationary diffusion limited aggregation

KW - stationary harmonic measure

UR - http://www.scopus.com/inward/record.url?scp=85111483806&partnerID=8YFLogxK

U2 - 10.30757/ALEA.v18-56

DO - 10.30757/ALEA.v18-56

M3 - مقالة

SN - 1980-0436

VL - 18

SP - 1529

EP - 1560

JO - Alea

JF - Alea

IS - 1

ER -

Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this