A temporal perspective on the rate of convergence in first-passage percolation under a moment condition

被引：1

作者：

Ahlberg, Daniel ^{[1
]}

机构：

[1] Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden

来源：

BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS | 2019年 / 33卷 / 02期

基金：

瑞典研究理事会;

关键词：

First-passage percolation; shape theorem; large deviations;

D O I：

10.1214/18-BJPS394

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 study the rate of convergence in the celebrated Shape Theorem in first-passage percolation, obtaining the precise asymptotic rate of decay for the probability of linear order deviations under a moment condition. Our results are presented from a temporal perspective and complement previous work by the same author, in which the rate of convergence was studied from the standard spatial perspective.

引用

页码：397 / 401

页数：5

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