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On the convergence of multi-type branching processes with varying environments

Jones, Owen Dafydd (1997) On the convergence of multi-type branching processes with varying environments The Annals of Applied Probability, 7, (3), pp. 772-801.

Record type: Article

Abstract

Using the ergodic theory of nonnegative matrices, conditions are obtained for the L2 and almost sure convergence of a supercritical multitype branching process with varying environment, normed by its mean. We also give conditions for the extinction probability of the limit to equal that of the process. The theory developed allows for different types to grow at different rates, and an example of this is given, taken from the construction of a spatially inhomogeneous diffusion on the Sierpinski gasket.

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Published date: 1997
Organisations: Operational Research

Identifiers

Local EPrints ID: 29681
URI: http://eprints.soton.ac.uk/id/eprint/29681
ISSN: 1050-5164
PURE UUID: 878bcf9d-d29c-4a21-8166-7fc43b161bb3

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Date deposited: 14 Mar 2007
Last modified: 17 Jul 2017 15:57

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Author: Owen Dafydd Jones

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