On the similarity of the entropy power inequality and the Brunn- Minkowski inequality (Corresp.)
From MaRDI portal
Publication:3221873
DOI10.1109/TIT.1984.1056983zbMath0557.94006MaRDI QIDQ3221873
Max Henrique M. Costa, Thomas M. Cover
Publication date: 1984
Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)
isoperimetric inequalityFisher information matrixBrunn-Minkowski inequalityentropy power inequalityspherical normal distributioneffective radii of growing convex sets
Inequalities and extremum problems involving convexity in convex geometry (52A40) Measures of information, entropy (94A17)
Related Items (22)
The Brunn-Minkowski inequality for volume differences ⋮ The Brunn-Minkowski inequality ⋮ CONCAVITY PROPERTIES OF EXTENSIONS OF THE PARALLEL VOLUME ⋮ The log-Minkowski inequality of curvature entropy ⋮ Information in Probability: Another Information-Theoretic Proof of a Finite de Finetti Theorem ⋮ On the analogue of the concavity of entropy power in the Brunn-Minkowski theory ⋮ Reverse Brunn-Minkowski and reverse entropy power inequalities for convex measures ⋮ Intrinsic dimensional functional inequalities on model spaces ⋮ Volumes of subset Minkowski sums and the Lyusternik region ⋮ Entropic isoperimetric inequalities ⋮ Geometric inequalities from phase space translations ⋮ On the volume of the Minkowski sum of zonoids ⋮ Bernoulli sums and Rényi entropy inequalities ⋮ On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities ⋮ Entropy of chord distribution of convex bodies ⋮ A Brunn-Minkowski inequality for the integer lattice ⋮ Fisher information distance: a geometrical reading ⋮ The convexification effect of Minkowski summation ⋮ The conditional entropy power inequality for Gaussian quantum states ⋮ Improved log-Sobolev inequalities, hypercontractivity and uncertainty principle on the hypercube ⋮ On the Problem of Reversibility of the Entropy Power Inequality ⋮ The Cramer-Rao inequality for star bodies
This page was built for publication: On the similarity of the entropy power inequality and the Brunn- Minkowski inequality (Corresp.)
