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math.FA2024
Duality and Heat flow
Dario Cordero-Erausquin, Nathael Gozlan, Shohei Nakamura +1
We reveal the relation between the Legendre transform of convex functions and heat flow evolution, and how it applies to the functional Blaschke-Santalo inequality. We also describ…
math.FA2024
Some obstructions to contraction theorems on the half-sphere
Max Fathi, Matthieu Fradelizi, Nathael Gozlan +1
Caffarelli's contraction theorem states that probability measures with uniformly logconcave densities on R d can be realized as the image of a standard Gaussian measure by a global…