Qualitative properties of a class of Fleming-Viot operators

Michele Campiti; Ioan Rasa

doi:10.1023/b:amhu.0000028236.59446.da

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Acta Mathematica Hungarica

Volume/Issue:: Volume 103: Issue 1-2

Qualitative properties of a class of Fleming-Viot operators

Authors: Michele Campiti¹ and Ioan Rasa²

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¹ Polytechnic of Bari Department of Mathematics Via E. Orabona, 4 70125 Bari ( Italy Via E. Orabona, 4 70125 Bari ( Italy
² Universitatea Tehnica Departamentul de Matematica Str. C. Daicoviciu, 15 3400 Cluj Napoca Romania Str. C. Daicoviciu, 15 3400 Cluj Napoca Romania

DOI:: https://doi.org/10.1023/b:amhu.0000028236.59446.da

Page Count:: 55–69

Publication Date:: 01 Apr 2004

Online Publication Date:: 02 Nov 2004

Article Category:: Research Article

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Abstract

We indicate some qualitative properties of Fleming--Viot second order differential operators on the d-dimensional simplex, such as an inductive characterization of its domain and some spectral properties connected with the asymptotic behavior of the generated semigroup. These properties turn out to be very useful in the approximation of the solution of the evolution problem associated with Fleming--Viot operators, which are very important as diffusion models in population genetics.