Analysis and Geometry of Markov Diffusion Operators

Authors:

ISBN: 978-3-319-00226-2 (Print) 978-3-319-00227-9 (Online)

Table of contents (9 chapters)

  1. Front Matter

    Pages I-XX

  2. Markov Semigroups, Basics and Examples

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-75

      Markov Semigroups

    3. No Access

      Chapter

      Pages 77-118

      Model Examples

    4. No Access

      Chapter

      Pages 119-174

      Symmetric Markov Diffusion Operators

  3. Three Model Functional Inequalities

    1. Front Matter

      Pages 175-175

    2. No Access

      Chapter

      Pages 177-233

      Poincaré Inequalities

    3. No Access

      Chapter

      Pages 235-275

      Logarithmic Sobolev Inequalities

    4. No Access

      Chapter

      Pages 277-343

      Sobolev Inequalities

  4. Related Functional, Isoperimetric and Transportation Inequalities

    1. Front Matter

      Pages 345-345

    2. No Access

      Chapter

      Pages 347-389

      Generalized Functional Inequalities

    3. No Access

      Chapter

      Pages 391-431

      Capacity and Isoperimetric-Type Inequalities

    4. No Access

      Chapter

      Pages 433-469

      Optimal Transportation and Functional Inequalities

  5. Back Matter

    Pages 471-552