2 citations · 4 across the 15 of their papers we have counts for
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Conditions for equality and stability in Shannon's and Tao's entropy power inequalities
Lampros Gavalakis, Ioannis Kontoyiannis
We show that there is equality in Shannon's Entropy Power Inequality (EPI) if and only if the random variables involved are Gaussian, assuming nothing beyond the existence of diffe…
Entropic additive energy and entropy inequalities for sums and products
Rupert Li, Lampros Gavalakis, Ioannis Kontoyiannis
Following a growing number of studies that, over the past 15 years, have established entropy inequalities via ideas and tools from additive combinatorics, in this work we obtain a…
Entropic versions of Bergström's and Bonnesen's inequalities
Matthieu Fradelizi, Lampros Gavalakis, Martin Rapaport
We establish analogues of the Bergström and Bonnesen inequalities, related to determinants and volumes respectively, for the entropy power and for the Fisher information. The obtai…
Pragmatic lossless compression: Fundamental limits and universality
Andreas Theocharous, Lampros Gavalakis, Ioannis Kontoyiannis
The problem of variable-rate lossless data compression is considered, for codes with and without prefix constraints. Sharp bounds are derived for the best achievable compression ra…