Abstract
In this paper criticality-limit theorems are proved for a two-type branching process in which cancellation of particles of opposite type occurs after reproduction.
Citation
K. Bruce Erickson. "Self Annihilating Branching Processes." Ann. Probab. 1 (6) 926 - 946, December, 1973. https://doi.org/10.1214/aop/1176996801
Information
Published: December, 1973
First available in Project Euclid: 19 April 2007
zbMATH: 0292.60134
MathSciNet: MR365735
Digital Object Identifier: 10.1214/aop/1176996801
Keywords:
6067
,
6069
,
annihilation of particles
,
Criticality
,
growth rate limit theorems
,
Malthusian parameter
,
random walks with mean 0
,
submartingale
,
Two type branching process
Rights: Copyright © 1973 Institute of Mathematical Statistics