The Population Composition of a Multitype Branching Random Walk

Authors
Bramson, M. Ney, P. Tao, J.
Citation
M. Bramson, et al., The Population Composition of a Multitype Branching Random Walk, Annals of applied probability , 2(3), 1992, pp. 575-596
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
2
Issue
3
Year of publication
1992
Pages
575 - 596
Database
ACNP
SICI code
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.