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

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.

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Year of publication:	1983
Authors:	Ogura, Yukio
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 14.1983, 1, p. 19-40
Publisher:	Elsevier
Keywords:	Branching process Yaglom type theorem spectral representation diffusion process a.e. convergence negative curvature

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

Persistent link: https://www.econbiz.de/10008874475