3 papers
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.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.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…