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 …
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 …
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 …
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 …
This monograph highlights the connection between the theory of neutron transport and the theory of non-local branching processes. By detailing this frequently overlooked …
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 …
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 …
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 …
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 …