A limit theorem for branching one-dimensional periodic diffusion processes

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.

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Year of publication:	1984
Authors:	Kawazu, Kiyoshi ; Ogura, Yukio
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 14.1984, 3, p. 360-375
Publisher:	Elsevier
Keywords:	branching process diffusion process limit theorem periodic equation spectrum

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005153243