Monotonicity in first-passage percolation

被引：0

作者：

Gouere, Jean-Baptiste ^{[1
]}

机构：

[1] Univ Orleans, MAPMO, F-45067 Orleans 2, France

来源：

ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS | 2014年 / 11卷 / 02期

关键词：

First-passage percolation;

D O I：

暂无

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 standard first-passage percolation on Z(d). Let e(1) be the first coordinate vector. Let a(n) be the expected passage time from the origin to ne(1). In this short paper, we note that a(n) is increasing under some strong condition on the support of the distribution of the passage times on the edges.

引用

页码：565 / 569

页数：5

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