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math.PR2025
Gaussian approximation on the Skorokhod space via Malliavin calculus and regularization
Solesne Bourguin, Simon Campese
We introduce a carré du champ operator for Banach-valued random elements, taking values in the projective tensor product, and use it to control the bounded Lipschitz distance betwe…
math.PR2025
A Caveat on Metrizing Convergence in Distribution on Hilbert Spaces
Federico Bassetti, Solesne Bourguin, Simon Campese +1
We consider Sobolev-type distances on probability measures over separable Hilbert spaces involving the Schatten- norms, which include as special cases a distance first introduce…