The mean square displacement of random walk on the Manhattan lattice

被引：1
|
作者：
Beaton, Nicholas R. [1 ]
Holmes, Mark [1 ]
机构：
[1] Univ Melbourne, Parkville, Vic 3010, Australia
来源：
STATISTICS & PROBABILITY LETTERS | 2023年 / 193卷
关键词：
Manhattan lattice; Random walk; Mean square displacement; CENTRAL-LIMIT-THEOREM;
D O I：
10.1016/j.spl.2022.109706
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 an explicit formula for the mean square displacement of the random walk on the d-dimensional Manhattan lattice after n steps, for all n and all dimensions d > 2.(c) 2022 Elsevier B.V. All rights reserved.
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页数：5
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