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arXiv · 2511.22497

A moment approach to the law of large numbers for supercritical branching Markov processes

Christopher B. C. Dean·János Engländer·Emma Horton
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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 \cite{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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Christopher B. C. Dean, János Engländer, Emma Horton. 2025-11-27. A moment approach to the law of large numbers for supercritical branching Markov processes. https://arxiv.org/abs/2511.22497

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