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Multi-type branching processes with time dependent branching rates (1810.10470v1)
Published 24 Oct 2018 in math.PR
Abstract: Under mild non-degeneracy assumptions on branching rates in each generation, we provide a criterion for almost-sure extinction of a multi-type branching process with time-dependent branching rates. We also provide a criterion for the total number of particles (conditioned on survival and divided by the expectation of the resulting random variable) to approach an exponential random variable as time goes to infinity.
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