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
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页码：1 / 6
页数：6
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