CHASE-ESCAPE WITH DEATH ON TREES

• 成果类型: Article
• 署名作者: Beckman, Erin; Cook, Keisha; Eikmeier, Nicole; Hernandez-Torres, Sarai; Junge, Matthew
• 署名单位: Concordia University - Canada; Tulane University; Grinnell College; Technion Israel Institute of Technology; City University of New York (CUNY) System; Baruch College (CUNY)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/21-AOP1514
• 发表日期: 2021
• 页码: 2530-2547
• 关键词: dynamics

摘要

Chase-escape is a competitive growth process in which red particles spread to adjacent uncolored sites, while blue particles overtake adjacent red particles. We introduce the variant in which red particles die and describe the phase diagram for the resulting process on infinite d-ary trees. A novel connection to weighted Catalan numbers makes it possible to characterize the critical behavior.