A fluctuations limit for scaled age distributions and weighted Sobolev spaces

DOI10.1007/BF01442393zbMath0708.60074MaRDI QIDQ920483

Amitava Bose

Publication date: 1991

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesLangevin equationage distributions of particlescritical linear birth and death processesRadon measures with finite moment generating functionals

Mathematics Subject Classification ID

Strong limit theorems (60F15) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Stability of a class of transformations of distribution-valued processes and stochastic evolution equations

Cites Work

• Infinite dimensional stochastic differential equation models for spatially distributed neurons
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• A law of large numbers for the scaled age distribution of linear birth-and-death processes
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