A moment approach to the law of large numbers for supercritical branching Markov processes
Abstract
We offer a new proof of the classical law of large numbers for a general class of branching Markov processes based on the asymptotic behaviour of the moments developed in bmoments, gonzalez2022erratum. Moreover, we show that the law of the limiting random variable, that is the almost sure limit of the classical additive martingale, is completely determined by its moments.
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