On a limit theorem for branching one-dimensional diffusion processes

DOI10.2977/prims/1195187209zbMath0461.60091OpenAlexW2071885455MaRDI QIDQ1152643

Yukio Ogura, Seiji Kageyama

Publication date: 1980

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195187209

zbMATH Keywords

negative curvaturebranching Brownian motionunbounded diffusion domain

Mathematics Subject Classification ID

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

Related Items

On the solutions of linear elliptic equations in exterior domains ⋮ A limit theorem for particle numbers in bounded domains of a branching diffusion process ⋮ Branching one-dimensional periodic diffusion processes

Cites Work

• Stochastic differentials
• A comparison theorem for solutions of stochastic differential equations and its applications
• Branching Brownian motion with absorption
• On a comparison theorem for solutions of stochastic differential equations and its applications
• Perturbation of drift-type for Levy processes
• On the branching process for Brownian particles with an absorbing boundary
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• Branching Markov processes. I
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• Strong limit theorems for general supercritical branching processes with applications to branching diffusions
• Brownian motion in certain symmetric spaces and nonnegative eigenfunctions of the Laplace-Beltrami operator
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