On homogeneous and oscillating random walks on the integers

被引：0

作者：

Bremont, Julien ^{[1
,2
]}

机构：

[1] Univ Paris Est Creteil, CNRS, LAMA, F-94010 Creteil, France

[2] Univ Gustave Eiffel, LAMA, F-77447 Marne La Vallee, France

来源：

PROBABILITY SURVEYS | 2023年 / 20卷

关键词：

Homogeneous random walk; oscillating random walk; recurrence criterion;

D O I：

10.1214/23-PS13

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 simplify the proof of Spitzer's recurrence criterion for ho-mogeneous random walks on the integers. Kemp erman's oscillating random walk is next revisited and preliminaries for a Spitzer's type result are es-tablished.

引用

页码：87 / 112

页数：26

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