ELEPHANT RANDOM WALKS WITH DELAYS

被引：0

作者：

Gut, Allan ^{[1
]}

Stadtmueller, Ulrich ^{[2
]}

机构：

[1] Uppsala Univ, Dept Math, Box 480, SE-75106 Uppsala, Sweden

[2] Ulm Univ, Dept Number Theory & Probabil Theory, D-89069 Ulm, Germany

来源：

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2022年 / 67卷 / 1-2期

关键词：

Elephant random walk; delay; law of large numbers; asymptotic (non)normality; law of iterated logarithm; difference equation; Markov chain;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the simple random walk the steps are independent, that is., the walker has no memory. In contrast, in the elephant random walk (ERW), which was introduced by Schutz and Trimper [9] in 2004, the next step always depends on the whole path so far. One extension, as suggested recently by Bercu et al. [2], is to allow for delays, that is, to put mass at zero. Our aim is to extend results for the ordinary ERW to elephant random walks with delays (ERWD).

引用

页码：51 / 66

页数：16

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