Proof of a hypercontractive estimate via entropy

DOI10.1007/BF02773387zbMath1025.26019OpenAlexW2057463449MaRDI QIDQ5951519

Vojtěch Rödl, Ehud Friedgut

Publication date: 26 November 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773387

zbMATH Keywords

probability spaceorthogonal functionsentropy lemmaexpected amount of informationhypercontractive inequalitymultilinear polynomial

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Application of orthogonal and other special functions (94A11) Other analytical inequalities (26D20)

Related Items (3)

Hypercontractivity via tensor calculus ⋮ Hypercontractive inequality for pseudo-Boolean functions of bounded Fourier width ⋮ Chang's lemma via Pinsker's inequality

Cites Work

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• Some intersection theorems for ordered sets and graphs
• Inequalities in Fourier analysis
• On the number of copies of one hypergraph in another
• Influences of variables and threshold intervals under group symmetries
• The influence of variables in product spaces
• Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
• Hypergraphs, Entropy, and Inequalities
• Sharp thresholds of graph properties, and the $k$-sat problem

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