A Malliavin calculus is built for the Dirichlet-Ferguson process with its generator identified as that of the Fleming-Viot process and a direct proof of the Poincaré inequality given.
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Stochastic analysis for the Dirichlet--Ferguson process
A Malliavin calculus is built for the Dirichlet-Ferguson process with its generator identified as that of the Fleming-Viot process and a direct proof of the Poincaré inequality given.