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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
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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.

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