期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2017
卷号：XIV
页码：117-137
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider an exactly solvable model of branching random walk withrandom selection, which describes the evolution of a population with N individualson the real line. At each time step, every individual reproduces independently, andits o spring are positioned around its current locations. Among all children, N individualsare sampled at random without replacement to form the next generation,such that an individual at position x is chosen with probability proportional to e x.We compute the asymptotic speed and the genealogical behavior of the system.
关键词：Branching random walk; Coalescent process; Selection; Poisson-;Dirichlet partition.
