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

Angela A. Albanese; Elisabetta M. Mangino

arxiv: 1002.3062 · v1 · submitted 2010-02-16 · 🧮 math.FA

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

Angela A. Albanese , Elisabetta M. Mangino This is my paper

classification 🧮 math.FA

keywords analyticitycanonicalclassdegeneratefleming--viotprocessessemigroupssimplex

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

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

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