Branching processes in simple random walk
Author: Meyer Dwass
Journal: Proc. Amer. Math. Soc. 51 (1975), 270-274
MSC: Primary 60J15; Secondary 60J80
MathSciNet review: 0370775
Abstract: Let be the number of overcrossings of height in a simple random walk. For , the process is a branching process which eventually becomes extinct. For is a stationary process which is a branching process with immigration.
Keywords: Branching process, branching process with immigration, random walk, simple random walk
Article copyright: © Copyright 1975 American Mathematical Society