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The critical branching diffusion in a varying environment
B. Gail Ivanoff
Journal:

Advances in Applied Probability / Volume 15 / Issue 3 / September 1983

Published online by Cambridge University Press:

01 July 2016, pp. 488-506

Print publication:

September 1983
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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.

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The critical branching diffusion in a varying environment