Multitype shape theorems for first passage percolation models

被引：12

作者：

Pimentel, Leandro P. R. ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Inst Math, CH-1015 Lausanne, Switzerland

来源：

ADVANCES IN APPLIED PROBABILITY | 2007年 / 39卷 / 01期

关键词：

first passage percolation; competing growth; multitype shape theorem; competition interface;

D O I：

10.1239/aap/1175266469

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：

A Euclidean first passage percolation model describing the competing growth between k different types of infection is considered. We focus on the long-time behavior of this multitype growth process and we derive multitype shape results related to its morphology.

引用

页码：53 / 76

页数：24

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