Asymptotic Behaviour of Measure-Valued Critical Branching Processes

DOI10.2307/2160086zbMath0776.60106OpenAlexW4253387313MaRDI QIDQ3134706

Alison M. Etheridge

Publication date: 13 September 1993

Full work available at URL: https://doi.org/10.2307/2160086

zbMATH Keywords

Laplace transformMarkov processlinear semigroupmeasure-valued branching processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Nonlinear parabolic equations (35K55) Diffusion processes (60J60) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Invariant probability distributions for measure-valued diffusions. ⋮ Long-time behavior for subcritical measure-valued branching processes with immigration ⋮ Large scale localization of a spatial version of Neveu's branching process

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A weighted occupation time for a class of measure-valued branching processes
• Upper bounds for symmetric Markov transition functions
• Stochastic evolution equations and related measure processes
• Three classes of infinite-dimensional diffusions
• A limit theorem of branching processes and continuous state branching processes
• Regular Transition Functions and Regular Superprocesses
• Superprocesses and their Linear Additive Functionals
• The critical measure diffusion process
• Stability of Critical Cluster Fields

This page was built for publication: Asymptotic Behaviour of Measure-Valued Critical Branching Processes