An example and a conjecture concerning scaling limits of superdiffusions

János Engländer

Statistics & Probability Letters, 2004, vol. 66, issue 3, 363-368

Abstract: 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.

Keywords: Measure-valued; diffusion; Superdiffusion; Law; of; large; numbers; h-transform; Scaling; limits; for; superprocesses (search for similar items in EconPapers)
Date: 2004
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