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A class of non-symmetric forms on the canonical simplex of $\R^d$
We introduce a class of non-symmetric bilinear forms on the d-dimen\-sional canonical simplex, related with Fleming-Viot type operators.
Strong continuity, closedness and results in the spirit of Beurling-Deny criteria are established. Moreover, under suitable assumptions, we prove that the forms satisfy the Log-Sobolev inequality.
As a consequence, regularity results for semigroups generated by a class of Fleming-Viot type operators are given.