Stationary Harmonic Measure as the Scaling Limit of Truncated Harmonic Measure

被引：3

作者：

Procaccia, Eviatar B. ^{[1
,2
]}

Ye, Jiayan ^{[3
]}

Zhang, Yuan ^{[4
]}

机构：

[1] Texas A&M Univ, College Stn, TX 77843 USA

[2] Technion Israel Inst Technol, Haifa, Israel

[3] Ben Gurion Univ Negev, Beer Sheva, Israel

[4] Peking Univ, Beijing, Peoples R China

来源：

ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS | 2021年 / 18卷 / 02期

关键词：

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

D O I：

10.30757/ALEA.v18-56

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：1529 / 1560

页数：32

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