Limit theorem for critical branching diffusion processes with absorbing barriers

DOI10.1016/0025-5564(74)90049-2zbMath0282.60053OpenAlexW1984141013MaRDI QIDQ1844020

Heinrich Hering

Publication date: 1974

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(74)90049-2

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Limit theorems in probability theory (60F99)

Related Items (7)

Unnamed Item ⋮ Branching processes. II ⋮ Unnamed Item ⋮ Strong limit theorems for general supercritical branching processes with applications to branching diffusions ⋮ An invariance principle for branching diffusions in bounded domains ⋮ Refined positivity theorem for semigroups generated by perturbed differential operators of second order with an application to Markov branching processes ⋮ Some modified branching diffusion models

Cites Work

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• The general theory of stochastic population processes
• On the branching process for Brownian particles with an absorbing boundary
• On multitype branching processes with \(\rho\leq1\)
• Branching Markov processes. III
• A Note on Limit Theorems for Markov Branching Processes
• Ergodic Properties of Continuous-Time Markov Processes and Their Discrete Skeletons
• Critical Markov Branching Processes with General Set of Types
• Limiting Distributions for Critical Multitype Branching Processes with Discrete Time
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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