Diffusion approximations of age-and-position dependent branching processes

DOI10.1016/0304-4149(82)90007-2zbMath0484.60069OpenAlexW1984332964MaRDI QIDQ1163791

Frank J. S. Wang

Publication date: 1982

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(82)90007-2

zbMATH Keywords

operator semigroupconvergence of finite dimensional distributionsage-and-position dependent branching processes

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Diffusion processes (60J60) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)

Related Items

Branching processes. II

Cites Work

• Stochastic evolution equations and related measure processes
• Semigroups of conditioned shifts and approximation of Markov processes
• A limit theorem of branching processes and continuous state branching processes
• The convergence of a branching Brownian motion used as a model describing the spread of an epidemic
• The critical measure diffusion process
• The convergence of a position-dependent branching process used as an approximation to a model describing the spread of an epidemic
• Stochastic branching processes with continuous state space
• Continuous state branching processes
• Continuous state branching semigroups
• On Feller's branching diffusion processes
• Diffusion Approximations of Branching Processes
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