Christopher B. C. Dean

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math.PR2026

Functional central limit theorems for non-local branching Markov processes

Christopher B. C. Dean, Emma Horton

The aim of this paper is to study the fluctuations of a general class of supercritical branching Markov processes with non-local branching mechanisms. We establish functional centr…

math.PR2025

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

Christopher B. C. Dean, JÃ¡nos EnglÃ¤nder, Emma Horton

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{bmo…

math.PR2025

More on the asymptotic behaviour of moments of branching Markov processes

Christopher B. C. Dean, Emma Horton

Consider a branching Markov process, $X = (X (t), t \geq 0)$ , with non-local branching mechanism. Studying the asymptotic behaviour of the moments of X has recently received attentio…