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.
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页码：397 / 401
页数：5
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