The Annals of Applied Probability

The Population Composition of a Multitype Branching Random Walk

M. Bramson, P. Ney, and J. Tao

Full-text: Open access

Abstract

We consider a multitype branching process in which particles move according to probability laws that depend on the type of a particle. The composition of the population, namely the proportions of numbers of particles of different types, varies over the region of motion. In this paper, we study the growth rate and population composition of the process throughout its domain of supercriticality.

Article information

Source
Ann. Appl. Probab., Volume 2, Number 3 (1992), 575-596.

Dates
First available in Project Euclid: 19 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1177005650

Digital Object Identifier
doi:10.1214/aoap/1177005650

Mathematical Reviews number (MathSciNet)
MR1177900

Zentralblatt MATH identifier
0757.60082

JSTOR
links.jstor.org

Subjects
Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Secondary: 60F10: Large deviations

Keywords
Branching process random walk large deviations

Citation

Bramson, M.; Ney, P.; Tao, J. The Population Composition of a Multitype Branching Random Walk. Ann. Appl. Probab. 2 (1992), no. 3, 575--596. doi:10.1214/aoap/1177005650. https://projecteuclid.org/euclid.aoap/1177005650


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