On the Problem of Reversibility of the Entropy Power Inequality
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Publication:2848099
DOI10.1007/978-3-642-36068-8_4zbMath1304.60029arXiv1111.6807OpenAlexW2169690298MaRDI QIDQ2848099
Mokshay Madiman, Sergey G. Bobkov
Publication date: 25 September 2013
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.6807
log-concaveRogers-Shephard inequalityconvex measuresreverse Brunn-Minkowski inequalityentropy power inequality
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Improved bounds for Hadwiger's covering problem via thin-shell estimates, Rogers-Shephard inequality for log-concave functions, Concentration of information content for convex measures, Stability of Cramer’s Characterization of Normal Laws in Information Distances, Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures, Volumes of subset Minkowski sums and the Lyusternik region, A discrete complement of Lyapunov's inequality and its information theoretic consequences, On the volume of the Minkowski sum of zonoids, The convexification effect of Minkowski summation, Rogers-Shephard and local Loomis-Whitney type inequalities, A reverse entropy power inequality for log-concave random vectors, Majorization and Rényi entropy inequalities via Sperner theory
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