An example and a conjecture concerning scaling limits of superdiffusions

Consider the superdiffusion corresponding to the semilinear operator Lu+[beta]u-[alpha]u2 on . In [Engländer and Turaev, 2002], the existence of the random measurewas shown under appropriate spectral theoretical assumptions. In the same paper we asked whether the probability of having a zero limit is the same as the probability of finite time extinction. In this note we give an answer in the negative by showing a counterexample.

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Year of publication:	2004
Authors:	Engländer, János
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 66.2004, 3, p. 363-368
Publisher:	Elsevier
Keywords:	Measure-valued diffusion Superdiffusion Law of large numbers h-transform Scaling limits for superprocesses

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

Persistent link: https://www.econbiz.de/10005319198