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math.FA2024
A refinement of the Šidák-Khatri inequality and a strong Gaussian correlation conjecture
Rotem Assouline, Arnon Chor, Shay Sadovsky
We prove two special cases of a strengthened Gaussian correlation conjecture, due to Tehranchi, and show that if the conjecture holds asymptotically, it holds for any dimension. Ad…
math.FA2023
Transport-entropy forms of direct and Converseblaschke-Santal{ó} inequalities
Matthieu Fradelizi, Nathael Gozlan, Shay Sadovsky +1
We explore alternative functional or transport-entropy formulations of the Blaschke-Santal{ó} inequality and of its conjectured counterpart due to Mahler. In particular, we obtain…