The Backbone Decomposition for Superprocesses with Non-local Branching

DOI10.1007/978-3-319-13984-5_10zbMath1498.60346arXiv1409.3493OpenAlexW2242986336MaRDI QIDQ5038269

Antonio Murillo-Salas, José Luis Pérez Garmendia

Publication date: 30 September 2022

Published in: XI Symposium on Probability and Stochastic Processes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3493

zbMATH Keywords

backbone decompositionsuperprocessesnon-local branching

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Superprocesses (60J68)

Related Items

Skeletal stochastic differential equations for superprocesses ⋮ Stochastic methods for the neutron transport equation. II: Almost sure growth ⋮ Backbone decomposition of multitype superprocesses

Cites Work

• Unnamed Item
• The prolific backbone for supercritical superprocesses
• \(\mathbb{N}\)-measures for branching exit Markov systems and their applications to differential equations
• Continuous branching processes and spectral positivity
• On the construction and support properties of measure-valued diffusions on \(D\subseteq \mathbb{R}^d\) with spatially dependent branching
• Nonlocal branching superprocesses and some related models
• Non-degenerate conditionings of the exit measures of super Brownian motion.
• On the conditioned exit measures of super Brownian motion
• Fluctuations of Lévy processes with applications. Introductory lectures
• An Application of the Backbone Decomposition to Supercritical Super-Brownian Motion with a Barrier
• Asymptotic behaviour of continuous time, continuous state-space branching processes
• Two representations of a conditioned superprocess
• Weighted Occupation Time for Branching Particle Systems and a Representation for the Supercritical Superprocess
• The Backbone Decomposition for Spatially Dependent Supercritical Superprocesses