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math.MG2025
Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals
Shay Sadovsky, Gaoyong Zhang
This paper establishes two new geometric inequalities in the dual Brunn-Minkowski theory. The first, originally conjectured by Lutwak, is the Brunn-Minkowski inequality for dual qu…
math.MG2021
Optimal measure transportation with respect to non-traditional costs
Shiri Artstein-Avidan, Shay Sadovsky, Katarzyna Wyczesany
We study optimal mass transport problems between two measures with respect to a non-traditional cost function, i.e. a cost which can attain the value . We define the n…