Contents Preface Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5, Chapter 6. Chapter 7 Chapter 8 Introduction and notations Poincare-type inequalities Entropy and Orlicz spaces JjSq and Hardy-type inequalities on the line LSg-inequalities and Markov semigroups 8.1. Ergodicity for nonlinear semigroups Chapter 9. Isoperimetry Chapter 10. The localization argument Chapter 11. Infinitesimal version Chapter 12. Proof of Theorem 9.2 Chapter 13. Euclidean distance (proof of Theorem 9.1) Chapter 14. Uniformly convex bodies Chapter 15. From Isoperimetry to LS^-inequalities Chapter 16. Isoperimetric Functional Inequalities Bibliography vn 1 5 9 13 Probability measures satisfying LSg-inequalities on the real line 17 Exponential integrability and perturbation of measures 23 LSg-inequalities for Gibbs measures with Super Gaussian Tails. 27 33 34 37 41 45 49 53 55 59 61 67
Previous Page Next Page