Entropy bounds and isoperimetry / [electronic resource] S.G. Bobkov, B. Zegarlinski.

By: Bobkov, Serguei G. (Serguei Germanovich), 1961-Contributor(s): Zegarlinski, BMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 829Publication details: Providence, RI : American Mathematical Society, c2005Description: 1 online resource (ix, 69 p. : ill.)ISBN: 9781470404307 (online)Subject(s): Isoperimetric inequalities | Entropy (Information theory) | Inequalities (Mathematics) | Boundary value problemsAdditional physical formats: Entropy bounds and isoperimetry /DDC classification: 516 LOC classification: QA447 | .B567 2005Online resources: Contents | Contents
Contents:
1. Introduction and notations 2. Poincar�e-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
Item type: E-BOOKS
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Link to resource Available EBK13282

"Volume 176, number 829 (first of 4 numbers)."

Includes bibliographical references (p. 67-69).

1. Introduction and notations 2. Poincar�e-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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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