Self Annihilating Branching Processes

K. Bruce Erickson

doi:10.1214/aop/1176996801

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Home > Journals > Ann. Probab. > Volume 1 > Issue 6 > Article

December, 1973 Self Annihilating Branching Processes

K. Bruce Erickson

Ann. Probab. 1(6): 926-946 (December, 1973). DOI: 10.1214/aop/1176996801

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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.

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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

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