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

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

2010-02-16

arxiv.org/abs/1002.3062v1

Mathematics

Functional Analysis

32 pages

Scientific paper

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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