Hypercontractivity and Gaussian isoperimetry. Applications to spin systems

DOI10.1016/S0246-0203(00)00145-XzbMath0983.60097OpenAlexW149830766MaRDI QIDQ1592253

Pierre Fougères

Publication date: 21 April 2002

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2000__36_5_647_0

zbMATH Keywords

Gaussian isoperimetric inequalitydiscrete spin systemshypercontractive reversible diffusion generator

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Isoperimetry for Gibbs measures ⋮ From \(U\)-bounds to isoperimetry with applications to H-type groups

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