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

共 50 条

[1] Differentiability and monotonicity of expected passage time in Euclidean first-passage percolation
Howard, CD
[J]. JOURNAL OF APPLIED PROBABILITY, 2001, 38 (04) : 815 - 827
[2] First-passage percolation
Kesten, H
[J]. FROM CLASSICAL TO MODERN PROBABILITY, 2003, 54 : 93 - 143
[3] FIRST-PASSAGE PERCOLATION
HAMMERSLEY, JM
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1966, 28 (03) : 491 - +
[4] Bigeodesics in First-Passage Percolation
Damron, Michael
Hanson, Jack
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2017, 349 (02) : 753 - 776
[5] Superdiffusivity in first-passage percolation
Licea, C
Newman, CM
Piza, MST
[J]. PROBABILITY THEORY AND RELATED FIELDS, 1996, 106 (04) : 559 - 591
[6] Bigeodesics in First-Passage Percolation
Michael Damron
Jack Hanson
[J]. Communications in Mathematical Physics, 2017, 349 : 753 - 776
[7] Fluctuations in first-passage percolation
Sosoe, Philippe
[J]. RANDOM GROWTH MODELS, 2018, 75 : 69 - 93
[8] Inhomogeneous first-passage percolation
Ahlberg, Daniel
Damron, Michael
Sidoravicius, Vladas
[J]. ELECTRONIC JOURNAL OF PROBABILITY, 2016, 21
[9] Euclidean models of first-passage percolation
Howard, CD
Newman, CM
[J]. PROBABILITY THEORY AND RELATED FIELDS, 1997, 108 (02) : 153 - 170
[10] Euclidean models of first-passage percolation
C. Douglas Howard
Charles M. Newman
[J]. Probability Theory and Related Fields, 1997, 108 : 153 - 170

← 1 2 3 4 5 →