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 |
| Item ID: | 29681 |
| Date Deposited: | 14 Mar 2007 |
| Last Modified: | 02 Mar 2012 13:49 |
| Contributors: | Jones, Owen Dafydd (Author) |
| Date: | 1997 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29681 |
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