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math.MG2023
Godbersen's conjecture for locally anti-blocking bodies
Shay Sadovsky
In this note we give a short proof of Godbersen's conjecture for the class of locally anti-blocking bodies. We show that all equality cases amongst locally anti-blocking bodies are…
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…