Asymptotic moments of spatial branching processes

I Gonzalez, E Horton, AE Kyprianou - Probability Theory and Related …, 2022 - Springer
Suppose that X=(X t, t≥ 0) is either a superprocess or a branching Markov process on a
general space E, with non-local branching mechanism and probabilities P δ x, when issued …

Yaglom limit for critical nonlocal branching Markov processes

SC Harris, E Horton, AE Kyprianou… - The Annals of …, 2022 - projecteuclid.org
We consider the classical Yaglom limit theorem for a branching Markov process X=(X t, t≥
0), with nonlocal branching mechanism in the setting that the mean semigroup is critical, that …

A branching particle system as a model of semipushed fronts

J Tourniaire - The Annals of Probability, 2024 - projecteuclid.org
We consider a system of particles performing a one-dimensional dyadic branching Brownian
motion with space-dependent branching rate, negative drift− μ and killed upon reaching 0 …

The all-time maximum for branching Brownian motion with absorption conditioned on long-time survival

P Maillard, J Schweinsberg - arXiv preprint arXiv:2310.00707, 2023 - arxiv.org
We consider branching Brownian motion in which initially there is one particle at $ x $,
particles produce a random number of offspring with mean $ m+ 1$ at the time of branching …

Yaglom limit for critical neutron transport

SC Harris, E Horton, AE Kyprianou, M Wang - arXiv preprint arXiv …, 2021 - arxiv.org
We consider the classical Yaglom limit theorem for a branching Markov process $ X=(X_t,
t\ge 0) $, with non-local branching mechanism in the setting that the mean semigroup is …

[图书][B] Stochastic Neutron Transport: And Non-local Branching Markov Processes

E Horton, AE Kyprianou - 2023 - books.google.com
This monograph highlights the connection between the theory of neutron transport and the
theory of non-local branching processes. By detailing this frequently overlooked …

Stability of (sub) critical non-local spatial branching processes with and without immigration

E Horton, AE Kyprianou, P Martín-Chávez… - arXiv preprint arXiv …, 2024 - arxiv.org
We consider the setting of either a general non-local branching particle process or a general
non-local superprocess, in both cases, with and without immigration. Under the assumption …

Spine decompositions and limit theorems for a class of critical superprocesses

YX Ren, R Song, Z Sun - Acta Applicandae Mathematicae, 2020 - Springer
In this paper we first establish a decomposition theorem for size-biased Poisson random
measures. As consequences of this decomposition theorem, we get a spine decomposition …

Spectral analysis and -spine decomposition of inhomogeneous branching Brownian motions. Genealogies in fully pushed fronts

E Schertzer, J Tourniaire - arXiv preprint arXiv:2301.01697, 2023 - arxiv.org
We consider a system of particles performing a one-dimensional dyadic branching Brownian
motion with space-dependent branching rate, negative drift $-\mu $ and killed upon …

[HTML][HTML] Limit theorems for a class of critical superprocesses with stable branching

YX Ren, R Song, Z Sun - Stochastic Processes and their Applications, 2020 - Elsevier
We consider a critical superprocess {X; P μ} with general spatial motion and spatially
dependent stable branching mechanism with lowest stable index γ 0> 1. We first show that …