Diffusion-limited annihilating systems and the increasing convex order

被引：3

作者：

Bahl, Riti ^{[1
]}

Barnet, Philip ^{[2
]}

Johnson, Tobias ^{[3
]}

Junge, Matthew ^{[4
]}

机构：

[1] Emory Univ, Atlanta, GA 30322 USA

[2] Bard Coll, Annandale On Hudson, NY 12504 USA

[3] CUNY Coll Staten Isl, Staten Isl, NY USA

[4] Baruch Coll, New York, NY USA

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2022年 / 27卷

关键词：

interacting particle system; stochastic order; ASYMPTOTIC-BEHAVIOR; DENSITIES; PARKING; FLUCTUATIONS; KINETICS;

D O I：

10.1214/22-EJP808

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 diffusion-limited annihilating systems with mobile A-particles and stationary B-particles placed throughout a graph. Mutual annihilation occurs whenever an A-particle meets a B-particle. Such systems, when ran in discrete time, are also referred to as parking processes. We show for a broad family of graphs and random walk kernels that augmenting either the size or variability of the initial placements of particles increases the total occupation time by A-particles of a given subset of the graph. A corollary is that the same phenomenon occurs with the total lifespan of all particles in internal diffusion-limited aggregation.

引用

页数：19

共 31 条

[1]

Bahl Riti, 2021, ALEA-LAT AM J PROBAB, V18

[2] ASYMPTOTIC-BEHAVIOR OF DENSITIES IN DIFFUSION DOMINATED 2-PARTICLE REACTIONS [J].