THE GROWTH AND SPREAD OF THE GENERAL BRANCHING RANDOM WALK
成果类型：
Article
署名作者：
Biggins, J. D.
署名单位：
University of Sheffield
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
DOI：
10.1214/aoap/1177004604
发表日期：
1995
页码：
1008-1024
关键词：
摘要：
A general (Crump-Mode-Jagers) spatial branching process is considered. The asymptotic behavior of the numbers present at time t in sets of the form [ta, infinity) is obtained. As a consequence it is shown that if B-t is the position of the rightmost person at time t, B-t/t converges to a constant, which can be obtained from the individual reproduction law, almost surely on the survival set of the process. This generalizes the known discrete-time results.