3 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow
Vlassis Mastrantonis
-polarity and -Mahler volumes were recently introduced by Berndtsson, Rubinstein, and the author as a new approach, inspired by complex geometry, to the Mahler, Bourgain,…
A Santaló inequality for the -polar body
Vlassis Mastrantonis
In recent work with Berndtsson and Rubinstein, a notion of -polarity was introduced, with classical polarity recovered in the limit , and -polarity closely re…
Two-dimensional Błocki, -Mahler, and Bourgain conjectures
Vlassis Mastrantonis, Yanir A. Rubinstein
We confirm, in dimension two, Blocki's conjectures on sharp lower bounds for Bergman kernels of tube domains. To that end, we verify a broader class of -Mahler conjectures due…
-polarity, Mahler volumes, and the isotropic constant
Bo Berndtsson, Vlassis Mastrantonis, Yanir A. Rubinstein
This article introduces versions of the support function of a convex body and associates to these canonical -polar bodies and Mahler volumes $\mathcal…
The Nazarov proof of the non-symmetric Bourgain--Milman inequality
Vlassis Mastrantonis, Yanir A. Rubinstein
In 2012, Nazarov used Bergman kernels and Hormander's estimates for the -equation to give a new proof of the Bourgain--Milman theorem for symmetric convex bodie…