66 citations · 383 across the 32 of their papers we have counts for
3 papers · 1 filter
On the stability of Brunn-Minkowski type inequalities
Andrea Colesanti, Galyna V. Livshyts, Arnaud Marsiglietti
Log-Brunn-Minkowski inequality was conjectured by Boröczky, Lutwak, Yang and Zhang \cite{BLYZ}, and it states that a certain strengthening of the classical Brunn-Minkowski inequali…
Monotonicity and concavity of integral functionals involving area measures of convex bodies
Andrea Colesanti, Daniel Hug, Eugenia Saorín-Gómez
For a broad class of integral functionals defined on the space of -dimensional convex bodies, we establish necessary and sufficient conditions for monotonicity, and necessary co…
Minkowski valuations under volume constraints
Judit Abardia-Evéquoz, Andrea Colesanti, Eugenia Saorín Gómez
We provide a description of the space of continuous and translation invariant Minkowski valuations for which there is an upper and a lower bound f…