ON THE NON-CONVEXITY OF THE TIME CONSTANT IN FIRST-PASSAGE PERCOLATION

被引：0

作者：

Kesten, Harry ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, White Hall, Ithaca, NY 14853 USA

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 1996年 / 1卷

关键词：

First-passage percolation; time constant; convexity;

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 give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the time constant in first-passage percolation, as a functional on the space of distribution functions. The present counterexample only works for first-passage percolation on Z(d) for d large.

引用

页码：1 / 6

页数：6

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