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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...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
MDPI
2022
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| Materias: | |
| 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 |