期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2016
卷号：XIII
页码：481-519
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We study the interface of the symmetric multitype contact process onZ. In this process, each site of Z is either empty or occupied by an individual ofone of two species. Each individual dies with rate 1 and attempts to give birthwith rate 2R; the position for the possible new individual is chosen uniformly atrandom within distance R of the parent, and the birth is suppressed if this positionis already occupied. We consider the process started from the con guration inwhich all sites to the left of the origin are occupied by one of the species and allsites to the right of the origin by the other species, and study the evolution of theregion of interface between the two species. We prove that, under di usive scaling,the position of the interface converges to Brownian motion.
