Showing math.PRShow all
2 papers · 1 filter
math.PR2026
Entropic analogues of Grünbaum's inequality
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport
The classical Grünbaum inequality asserts that the proportion of the volume of a convex body cut off by a halfspace containing its barycenter is at least . From its functional…
math.PR2025
Negative Moments of Steinhaus Sums
Martin Rapaport, Tomasz Tkocz, Isabella Wu
We prove a sharp upper bound on negative moments of sums of independent Steinhaus random variables (that is uniform on circles in the plane). Together with the series of earlier wo…