Analyticity of a class of degenerate evolution equations on the canonical simplex of Rd\R^d arising from Fleming--Viot processes

preprint2010arXivOpen access

Abstract

We study the analyticity of the semigroups generated by a class of degenerate second order differential operators in the space C(Sd)C(S_d), where SdS_d is the canonical simplex of Rd\R^d. The semigroups arise from the theory of Fleming--Viot processes in population genetics.

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