期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2019
卷号：XVI
期号：2
页码：1077-1087
DOI：10.30757/ALEA.v16-39
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider a version of ballistic annihilation with particles placed atthe integer points on the real line. Each is independently assigned either speed-0 with probability p, or speed-1 symmetrically with the remaining probability.All particles simultaneously begin moving at their assigned speeds and mutuallyannihilate upon colliding. A renewal property lets us equate survival of a particleto the survival of a Galton-Watson process. An immediate application of our resultis an upper bound for the critical probability when particles have unit spacings.This comes from a rigorous, computer-assisted approximation of the Galton-Watsonprocess offspring distribution.
