On strict monotonicity of the speed for excited random walks in one dimension

被引：6

作者：

Holmes, Mark ^{[1
]}

机构：

[1] Univ Auckland, Auckland 1, New Zealand

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2015年 / 20卷

关键词：

Excited random walk; monotonicity; coupling; arrow systems; regeneration;

D O I：

10.1214/ECP.v20-4212

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 give a "direct" coupling proof of strict monotonicity of the speed for 1-dimensional multi-excited random walks with positive speed. This reproves (and extends) a recent result of Peterson without using branching processes.

引用

页码：1 / 7

页数：7

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