DIFFUSION-LIMITED AGGREGATION ON THE HYPERBOLIC PLANE

被引：3

作者：

Eldan, Ronen ^{[1
]}

机构：

[1] Microsoft Res, Redmond, WA 98052 USA

来源：

ANNALS OF PROBABILITY | 2015年 / 43卷 / 04期

关键词：

Random cluster growth models; diffusion-limited aggregation; hyperbolic space; harmonic measure;

D O I：

10.1214/14-AOP928

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：

We consider an analogous version of the diffusion-limited aggregation model defined on the hyperbolic plane. We prove that almost surely the aggregate viewed at time infinity will have a positive density.

引用

页码：2084 / 2118

页数：35

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