The collision branching process



Journal of Applied Probability

The collision branching process

Anyue Chen, Phil Pollett, Hanjun Zhang, and Junping Li

Source: J. Appl. Probab. Volume 41, Number 4 (2004), 1033-1048.

Abstract

We consider a branching model, which we call the collision branching process (CBP), that accounts for the effect of collisions, or interactions, between particles or individuals. We establish that there is a unique CBP, and derive necessary and sufficient conditions for it to be nonexplosive. We review results on extinction probabilities, and obtain explicit expressions for the probability of explosion and the expected hitting times. The upwardly skip-free case is studied in some detail.

Primary Subjects: 60J27
Secondary Subjects: 60J80
Keywords: Regularity; extinction probability; hitting time

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jap/1101840549
Digital Object Identifier: doi:10.1239/jap/1101840549
Mathematical Reviews number (MathSciNet): MR2122478
Zentralblatt MATH identifier: 02151052

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