ONE-DIMENSIONAL RANDOM WALKS WITH SELF-BLOCKING IMMIGRATION
成果类型：
Article
署名作者：
Birkner, Matthias; Sun, Rongfeng
署名单位：
Johannes Gutenberg University of Mainz; National University of Singapore
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/16-AAP1199
发表日期：
2017
页码：
109-139
关键词：
摘要：
We consider a system of independent one-dimensional random walkers where new particles are added at the origin at fixed rate whenever there is no older particle present at the origin. A Poisson ansatz leads to a semi-linear lattice heat equation and predicts that starting from the empty configuration the total number of particles grows as c root t logt. We confirm this prediction and also describe the asymptotic macroscopic profile of the particle configuration.