5 papers
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…
Convergence to the Brownian CRT for critical branching Markov processe
Emma Horton, Ellen Powell
We prove an invariance principle for a general class of continuous time critical branching processes with finite variance (non-local) branching mechanism. We show that the genealog…
SDE-based Monte Carlo dose calculation for proton therapy validated against Geant4
Christopher B. C. Dean, Maria L. Pérez-Lara, Emma Horton +3
Objective: To assess the accuracy and computational performance of a stochastic differential equation (SDE)--based model for proton beam dose calculation by benchmarking against Ge…
A moment approach to the law of large numbers for supercritical branching Markov processes
Christopher B. C. Dean, János Engländer, 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…
More on the asymptotic behaviour of moments of branching Markov processes
Christopher B. C. Dean, Emma Horton
Consider a branching Markov process, , with non-local branching mechanism. Studying the asymptotic behaviour of the moments of X has recently received attentio…