Two-type annihilating systems on the complete and star graph

被引：2

作者：

Cristali, Irina ^{[1
]}

Jiang, Yufeng ^{[2
]}

Junge, Matthew ^{[3
]}

Kassem, Remy ^{[4
]}

Sivakoff, David ^{[5
]}

York, Grayson ^{[6
]}

机构：

[1] Univ Chicago, Chicago, IL 60637 USA

[2] Univ Washington, Seattle, WA 98195 USA

[3] Baruch Coll, Dept Math, New York, NY 10010 USA

[4] Columbia Univ, New York, NY 10027 USA

[5] Ohio State Univ, Columbus, OH 43210 USA

[6] Duke Univ, Durham, NC 27706 USA

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2021年 / 139卷

基金：

美国国家科学基金会;

关键词：

COALESCING RANDOM-WALKS; MULTIPLE RANDOM-WALKS; ASYMPTOTIC-BEHAVIOR; RECURRENCE; DENSITIES; PARKING;

D O I：

10.1016/j.spa.2021.05.004

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：

Red and blue particles are placed in equal proportion throughout either the complete or star graph and iteratively sampled to take simple random walk steps. Mutual annihilation occurs when particles with different colors meet. We compare the time it takes to extinguish every particle to the analogous time in the (simple to analyze) one-type setting. Additionally, we study the effect of asymmetric particle speeds. (C) 2021 ElsevierB.V. All rights reserved.

引用

页码：321 / 342

页数：22

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