Two-Dimensional Moran Model: Final Altitude and Number of Resets

被引：2

作者：

Aguech, Rafik ^{[1
]}

Abdelkader, Mohamed ^{[1
]}

机构：

[1] King Saud Univ, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 17期

关键词：

random structure; random walk; probability generating function; height; COMBINATORICS;

D O I：

10.3390/math11173774

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a two-dimension symmetric random walk with reset. We give, in the first part, some results about the distribution of every component. In the second part, we give some results about the final altitude Zn. Finally, we analyse the statistical properties of NnX, the number of resets (the number of returns to state 1 after n steps) of the first component of the random walk. As a principal tool in these studies, we use the probability generating function.

引用

页数：22

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