Abstract
A general theorem concerning the almost sure convergence of some nonhomogeneous Markov chains, whose conditional distributions satisfy a certain convergence condition, is given. This result applied to branching processes with infinite mean yields almost sure convergence for a large class of processes converging in distribution, as well as a characterization of the limiting distribution function.
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Cohn, H. Almost sure convergence of branching processes. Z. Wahrscheinlichkeitstheorie verw Gebiete 38, 73–81 (1977). https://doi.org/10.1007/BF00534171
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DOI: https://doi.org/10.1007/BF00534171