Hypercontractive Inequalities for the Second Norm of Highly Concentrated Functions, and Mrs. Gerber’s-Type Inequalities for the Second Rényi Entropy

Let [Formula: see text] , [Formula: see text] , be the noise operator acting on functions on the boolean cube [Formula: see text]. Let f be a distribution on [Formula: see text] and let [Formula: see text]. We prove tight Mrs. Gerber-type results for the second Rényi entropy of [Formula: see text] w...

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Detalles Bibliográficos
Autores principales: Levhari, Niv, Samorodnitsky, Alex
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9601360/
https://www.ncbi.nlm.nih.gov/pubmed/37420395
http://dx.doi.org/10.3390/e24101376

Internet

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9601360/
https://www.ncbi.nlm.nih.gov/pubmed/37420395
http://dx.doi.org/10.3390/e24101376

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