On the speed of a cookie random walk

被引：41

作者：

Basdevant, Anne-Laure ^{[1
]}

Singh, Arvind ^{[1
]}

机构：

[1] Univ Paris 06, Lab Probabil & Aleatoires, F-75013 Paris, France

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2008年 / 141卷 / 3-4期

关键词：

law of large numbers; cookie or multi-excited random walk; branching process with migration;

D O I：

10.1007/s00440-007-0096-8

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 consider the model of the one-dimensional cookie random walk when the initial cookie distribution is spatially uniform and the number of cookies per site is finite. We give a criterion to decide whether the limiting speed of the walk is non-zero. In particular, we show that a positive speed may be obtained for just three cookies per site. We also prove a result on the continuity of the speed with respect to the initial cookie distribution.

引用

页码：625 / 645

页数：21