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Published online by Cambridge University Press: 01 July 2016
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.
This research was supported by a grant from the Natural Sciences and Engineering Research Council of Canada.