13 citations · 21 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…