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Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity
 
Olivier Bernardi Brandeis University, Waltham, Massachusetts
Nina Holden New York University, New York, New York
Xin Sun Peking University, Beijing, China
Softcover ISBN:  978-1-4704-6699-2
Product Code:  MEMO/289/1440
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7626-7
Product Code:  MEMO/289/1440.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6699-2
eBook: ISBN:  978-1-4704-7626-7
Product Code:  MEMO/289/1440.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity
Olivier Bernardi Brandeis University, Waltham, Massachusetts
Nina Holden New York University, New York, New York
Xin Sun Peking University, Beijing, China
Softcover ISBN:  978-1-4704-6699-2
Product Code:  MEMO/289/1440
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7626-7
Product Code:  MEMO/289/1440.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6699-2
eBook ISBN:  978-1-4704-7626-7
Product Code:  MEMO/289/1440.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2892023; 176 pp
    MSC: Primary 60; 05; Secondary 82

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. A bijection between Kreweras walks and percolated triangulations
    • 3. Discrete dictionary I: Spine-looptrees decomposition
    • 4. Discrete dictionary II: Exploration tree
    • 5. Discrete dictionary III: tree of clusters, envelope excursions, and pivotal points
    • 6. Proofs of the bijective correspondences
    • 7. The mating-of-trees correspondence
    • 8. Convergence of percolated triangulations to $CLE_6$ on $\sqrt {8/3}$-LQG
    • 9. Proofs of the scaling limit results
    • A. Recovering the DFS tree and the walk from the percolated UIPT
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2892023; 176 pp
MSC: Primary 60; 05; Secondary 82

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. A bijection between Kreweras walks and percolated triangulations
  • 3. Discrete dictionary I: Spine-looptrees decomposition
  • 4. Discrete dictionary II: Exploration tree
  • 5. Discrete dictionary III: tree of clusters, envelope excursions, and pivotal points
  • 6. Proofs of the bijective correspondences
  • 7. The mating-of-trees correspondence
  • 8. Convergence of percolated triangulations to $CLE_6$ on $\sqrt {8/3}$-LQG
  • 9. Proofs of the scaling limit results
  • A. Recovering the DFS tree and the walk from the percolated UIPT
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.