Book Volume 1879 2006

The Lace Expansion and its Applications

Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004

Authors:

Editors:

ISBN: 978-3-540-31189-8 (Print) 978-3-540-35518-2 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xiii

  2. No Access

    Chapter

    Pages 1-6

    Simple Random Walk

  3. No Access

    Chapter

    Pages 7-17

    The Self-Avoiding Walk

  4. No Access

    Chapter

    Pages 19-29

    The Lace Expansion for the Self-Avoiding Walk

  5. No Access

    Chapter

    Pages 31-40

    Diagrammatic Estimates for the Self-Avoiding Walk

  6. No Access

    Chapter

    Pages 41-55

    Convergence for the Self-Avoiding Walk

  7. No Access

    Chapter

    Pages 57-65

    Further Results for the Self-Avoiding Walk

  8. No Access

    Chapter

    Pages 67-75

    Lattice Trees

  9. No Access

    Chapter

    Pages 77-86

    The Lace Expansion for Lattice Trees

  10. No Access

    Chapter

    Pages 87-108

    Percolation

  11. No Access

    Chapter

    Pages 109-123

    The Expansion for Percolation

  12. No Access

    Chapter

    Pages 125-139

    Results for Percolation

  13. No Access

    Chapter

    Pages 141-149

    Oriented Percolation

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    Chapter

    Pages 151-159

    Expansions for Oriented Percolation

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    Chapter

    Pages 161-170

    The Contact Process

  16. No Access

    Chapter

    Pages 171-182

    Branching Random Walk

  17. No Access

    Chapter

    Pages 183-200

    Integrated Super-Brownian Excursion

  18. No Access

    Chapter

    Pages 201-210

    Super-Brownian Motion

  19. Back Matter

    Pages 211-232