Book Volume 2026 2011

Markov Paths, Loops and Fields

École d'Été de Probabilités de Saint-Flour XXXVIII – 2008

Authors:

ISBN: 978-3-642-21215-4 (Print) 978-3-642-21216-1 (Online)

Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii

  2. No Access

    Chapter

    Pages 1-12

    Symmetric Markov Processes on Finite Spaces

  3. No Access

    Chapter

    Pages 13-28

    Loop Measures

  4. No Access

    Chapter

    Pages 29-34

    Geodesic Loops

  5. No Access

    Chapter

    Pages 35-45

    Poisson Process of Loops

  6. No Access

    Chapter

    Pages 47-56

    The Gaussian Free Field

  7. No Access

    Chapter

    Pages 57-64

    Energy Variation and Representations

  8. No Access

    Chapter

    Pages 65-73

    Decompositions

  9. No Access

    Chapter

    Pages 75-89

    Loop Erasure and Spanning Trees

  10. No Access

    Chapter

    Pages 91-97

    Reflection Positivity

  11. No Access

    Chapter

    Pages 99-113

    The Case of General Symmetric Markov Processes

  12. Back Matter

    Pages 115-124