STRICT CONVEXITY OF THE LIMIT SHAPE IN FIRST-PASSAGE PERCOLATION

被引：2

作者：

Lalley, Steven P. ^{[1
]}

机构：

[1] Univ Chicago, Dept Stat, Chicago, IL 60637 USA

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2003年 / 8卷

关键词：

Shape theorem; first-passage percolation; oriented percolation;

D O I：

10.1214/ECP.v8-1089

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：

Sufficient conditions are given for the strict convexity of the limit shape in standard first passage percolation. These conditions involve (1) asymptotic "straightness" of the geodesics, and (2) existence of mean-zero limit distributions for the first-passage times.

引用

页码：135 / 141

页数：7

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