Entropy jumps in the presence of a spectral gap

DOI10.1215/S0012-7094-03-11912-2zbMath1036.94003MaRDI QIDQ1409333

Assaf Naor, Franck Barthe, Keith M. Ball

Publication date: 13 October 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

entropy gap

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measures of information, entropy (94A17)

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Cites Work

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• Contributions to the theory of convex bodies
• Entropy production by block variable summation and central limit theorems
• Entropy and the central limit theorem
• Isoperimetric and analytic inequalities for log-concave probability measures
• Fisher information inequalities and the central limit theorem
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• An Information-Theoretic Proof of the Central Limit Theorem with Lindeberg Conditions
• The convolution inequality for entropy powers
• Hardy's inequality with weights
• On the Measure of Sum-Sets. (I) The Theorems of Brunn, Minkowski, and Lusternik

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