2 citations · 4 across the 15 of their papers we have counts for
3 papers · 1 filter
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}…
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…
Entropy lower bounds and sum-product phenomena
Lampros Gavalakis, Marcel K. Goh, Ioannis Kontoyiannis
Various lower bounds are established for the entropy of sums, products and their combinations. First, we derive a prime-field analogue of a version of the entropy power inequality…