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math.FA2013
On the equivalence between two problems of asymmetry on convex bodies
Christos Saroglou
The simplex was conjectured to be the extremal convex body for the two following "problems of asymmetry":\\ P1) What is the minimal possible value of the quantity $\max_{K'} |K'|/|…
math.FA2013
Remarks on the conjectured log-Brunn-Minkowski inequality
Christos Saroglou
\footnotesize Böröczky, Lutwak, Yang and Zhang recently conjectured a certain strengthening of the Brunn-Minkowski inequality for symmetric convex bodies, the so-called log-Brunn-M…