Entropy bounds and isoperimetry /

Introduction and notations Poincare-type inequalities Entropy and Orlicz spaces $\mathbf{LS}_q$ and Hardy-type inequalities on the line Probability measures satisfying $\mathbf{LS}_q$-inequalities on the real line Exponential integrability and perturbation of measures $\mathbf{LS}_q$-inequalities fo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bobkov, Serguei G. (Serguei Germanovich), 1961-
Otros Autores: Zegarlinski, B.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, ©2005.
Colección:Memoirs of the American Mathematical Society ; no. 829.
Temas:
Isoperimetric inequalities.
Entropy (Information theory)
Inequalities (Mathematics)
Boundary value problems.
Inégalités isopérimétriques.
Entropie (Théorie de l'information)
Inégalités (Mathématiques)
Problèmes aux limites.
MATHEMATICS > Geometry > General.
Boundary value problems
Isoperimetric inequalities
Acceso en línea:Texto completo
Descripción
Sumario:Introduction and notations Poincare-type inequalities Entropy and Orlicz spaces $\mathbf{LS}_q$ and Hardy-type inequalities on the line Probability measures satisfying $\mathbf{LS}_q$-inequalities on the real line Exponential integrability and perturbation of measures $\mathbf{LS}_q$-inequalities for Gibbs measures with super Gaussian tails $\mathbf{LS}_q$-inequalities and Markov semigroups Isoperimetry The localization argument Infinitesimal version Proof of Theorem 9.2 Euclidean distance (proof of Theorem 9.1) Uniformly convex bodies From isoperimetry to $\mathbf{LS}_q$-inequalities Isoperimetric functional inequalities Bibliography.
Notas:"Volume 176, number 829 (first of 4 numbers)."
Descripción Física:1 online resource (ix, 69 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 67-69).
ISBN:9781470404307
1470404303
ISSN:1947-6221 ;
0065-9266

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