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), 772-801.

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Description/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.

Item Type: Article
ISSNs: 1050-5164 (print)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Operational Research
ePrint ID: 29681
Date Deposited: 14 Mar 2007
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/29681

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