Asymptotics of the Green function of killed random walks in a cone of Z d

被引：0

作者：

Ignatiouk-Robert, Irina ^{[1
]}

机构：

[1] CY Cergy Paris Univ, Dept Math, 2 Ave Adolphe Chauvin, F-95302 Cergy Pontoise, France

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2024年 / 29卷

关键词：

green functions; Martin boundary; random walks; MARTIN BOUNDARY;

D O I：

10.1214/24-ECP587

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 obtain the exact asymptotic behavior of Green functions of homogeneous random walks in Z d killed at the first exit from and open cone of R d . Our approach combines methods of functional equations, integral representations of the Green function and Woess' approach for the case of homogeneous random walks in Z d .

引用

页数：14

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