13 citations · 21 across the 8 of their papers we have counts for
9 papers
An optimal constant for vector balancing with permutations
Jonathan Niles-Weed, Shay Sadovsky, Jacob Shkrob
We present a version of the vector balancing problem in which each vector may be given a sign and a permutation of its coordinates. We prove that this vector balancing problem and…
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…
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…
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…
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…
A Zoo of Dualities
Shiri Artstein-Avidan, Shay Sadovsky, Katarzyna Wyczesany
In this note we study order reversing quasi involutions and their properties. These maps are dualities (order reversing involutions) on their image. We prove that any order reversi…
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…
A Rockafellar-type theorem for non-traditional costs
Shiri Artstein-Avidan, Shay Sadovsky, Katarzyna Wyczesany
In this note, we present a unified approach to the problem of existence of a potential for the optimal transport problem with respect to non-traditional cost functions, that is, co…
Geometric Inequalities for Anti-Blocking Bodies
Shiri Artstein-Avidan, Shay Sadovsky, Raman Sanyal
We study the class of (locally) anti-blocking bodies as well as some associated classes of convex bodies. For these bodies, we prove geometric inequalities regarding volumes and mi…