10 citations · 10 across the 3 of their papers we have counts for
3 papers
Optimal constants in concentration inequalities on the sphere and in the Gauss space
Guillaume Aubrun, Justin Jenkinson, Stanislaw J. Szarek
We show several variants of concentration inequalities on the sphere stated as subgaussian estimates with optimal constants. For a Lipschitz function, we give one-sided and two-sid…
Bound entangled states with extremal properties
Piotr Badziag, Karol Horodecki, Michal Horodecki +2
Following recent work of Beigi and Shor, we investigate PPT states that are "heavily entangled." We first exploit volumetric methods to show that in a randomly chosen direction, th…
Relative entropies for convex bodies
Justin Jenkinson, Elisabeth Werner
We introduce a new class of (not necessarily convex) bodies and show, among other things, that these bodies provide yet another link between convex geometric analysis and informati…