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math.PR2026
Entropy power inequalities in compact groups
Lampros Gavalakis, Ioannis Kontoyiannis, Sharang M. Sriramu +1
Suppose are independent random variables with values in a compact abelian group . We examine the following two entropy power-type inequalities: $h(X+Y)\geq \frac{1}{2}…
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…