Percolation on an infinitely generated group

被引：5

作者：

Georgakopoulos, Agelos ^{[1
]}

Haslegrave, John ^{[1
]}

机构：

[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

来源：

COMBINATORICS PROBABILITY & COMPUTING | 2020年 / 29卷 / 04期

基金：

欧洲研究理事会;

关键词：

60K35; 05C80; 05C81;

D O I：

10.1017/S096354832000005X

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We give an example of a long range Bernoulli percolation process on a group non-quasi-isometric with DOUBLE-STRUCK CAPITAL Z, in which clusters are almost surely finite for all values of the parameter. This random graph admits diverse equivalent definitions, and we study their ramifications. We also study its expected size and point out certain phase transitions.

引用

页码：587 / 615

页数：29

共 19 条

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