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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Bobkov, Serguei G. (Serguei Germanovich), 1961-
Other Authors: Zegarlinski, B.
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, ©2005.
Series:Memoirs of the American Mathematical Society ; no. 829.
Subjects:
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
Online Access:Texto completo
Table of Contents:
  • 1. Introduction and notations 2. Poincaré-type inequalities 3. Entropy and Orlicz spaces 4. $\mathrm {LS}_q$ and Hardy-type inequalities on the line 5. Probability measures satisfying $\mathrm {LS}_q$-inequalities on the real line 6. Exponential integrability and perturbation of measures 7. $\mathrm {LS}_q$-inequalities for Gibbs measures with super Gaussian tails 8. $\mathrm {LS}_q$-inequalities and Markov semigroups 9. Isoperimetry 10. The localization argument 11. Infinitesimal version 12. Proof of Theorem 9.2 13. Euclidean distance (proof of Theorem 9.1) 14. Uniformly convex bodies 15. From isoperimetry to $\mathrm {LS}_q$-inequalities 16. Isoperimetric functional inequalities.

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