Influence of the initial condition in equilibrium last-passage percolation models

被引：2

作者：

Cator, Eric A. ^{[1
]}

Pimentel, Leandro P. R. ^{[2
]}

Souza, Marcio W. A. ^{[3
]}

机构：

[1] Delft Univ Technol, NL-2628 CD Delft, Netherlands

[2] Univ Fed Rio de Janeiro, BR-21941909 Rio De Janeiro, RJ, Brazil

[3] Univ Sao Paulo, BR-05311970 Sao Paulo, Brazil

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2012年 / 17卷

关键词：

Last passage percolation; interacting particle system; Hammersley process; equilibrium measures; SIMPLE EXCLUSION PROCESS; GROWTH-MODEL; FLUCTUATIONS;

D O I：

10.1214/ECP.v17-1727

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：

In this paper we consider an equilibrium last-passage percolation model on an environment given by a compound two-dimensional Poisson process. We prove an L-2-formula relating the initial measure with the last-passage percolation time. This formula turns out to be a useful tool to analyze the fluctuations of the last-passage times along non-characteristic directions.

引用

页码：1 / 7

页数：7

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