A limit theorem for branching one-dimensional periodic diffusion processes

Kiyoshi Kawazu and Yukio Ogura

Journal of Multivariate Analysis, 1984, vol. 14, issue 3, 360-375

Abstract: We give almost sure convergence of appropriately normalized particle numbers in bounded domains of locally supercritical branching diffusion processes with one-dimensional periodic diffusions as their non-branching part processes. Some spectral properties of periodic diffusion operators including Hill's ones are also studied.

Keywords: branching; process; diffusion; process; limit; theorem; periodic; equation; spectrum (search for similar items in EconPapers)
Date: 1984
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