Open Access
August, 1992 The Population Composition of a Multitype Branching Random Walk
M. Bramson, P. Ney, J. Tao
Ann. Appl. Probab. 2(3): 575-596 (August, 1992). DOI: 10.1214/aoap/1177005650


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.


Download Citation

M. Bramson. P. Ney. J. Tao. "The Population Composition of a Multitype Branching Random Walk." Ann. Appl. Probab. 2 (3) 575 - 596, August, 1992.


Published: August, 1992
First available in Project Euclid: 19 April 2007

zbMATH: 0757.60082
MathSciNet: MR1177900
Digital Object Identifier: 10.1214/aoap/1177005650

Primary: 60J80
Secondary: 60F10

Keywords: branching process , large deviations , Random walk

Rights: Copyright © 1992 Institute of Mathematical Statistics

Vol.2 • No. 3 • August, 1992
Back to Top