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

Abstract

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 ${\mathbb{R}}^d$. The semigroups arise from the theory of Fleming--Viot processes in population genetics.

32 pages