A limit theorem for particle numbers in bounded domains of a branching diffusion process

Yukio Ogura

Stochastic Processes and their Applications, 1983, vol. 14, issue 1, 19-40

Abstract: We shall study the asymptotic behavior of the particle numbers in bounded domains of a binary splitting one-dimensional branching diffusion process. We shall give a Yaglom type limit theorem in the so-called locally subcritical case, and almost sure convergence of the normalized particle number in the locally supercritical case.

Keywords: Branching; process; Yaglom; type; theorem; spectral; representation; diffusion; process; a.e.; convergence; negative; curvature (search for similar items in EconPapers)
Date: 1983
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