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The critical branching diffusion in a varying environment

Published online by Cambridge University Press:  01 July 2016

B. Gail Ivanoff
B. Gail Ivanoff*
Affiliation:
University of Ottawa
*
∗Postal address: Department of Mathematics, University of Ottawa, Ottawa, Ontario, Canada K1N 9B4.
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Abstract

A critical branching diffusion in an environment which varies in time is defined. Conditions are given for convergence of the process to a limit, and the triviality or non-triviality of the limit is discussed. If the migration is a Gaussian process in two dimensions, the limit is trivial, and an exponential limit law is proven.

Keywords

POINT PROCESSPROBABILITY GENERATING FUNCTIONALLAPLACE TRANSFORMFACTORIAL MOMENTSFACTORIAL CUMULANTS
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 3 , September 1983 , pp. 488 - 506
Copyright
Copyright © Applied Probability Trust 1983 

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Footnotes

This research was supported by a grant from the Natural Sciences and Engineering Research Council of Canada.

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