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Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation
 
Erik Bates North Carolina State University, Raleigh, North Carolina
Softcover ISBN:  978-1-4704-6791-3
Product Code:  MEMO/293/1460
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7717-2
Product Code:  MEMO/293/1460.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6791-3
eBook: ISBN:  978-1-4704-7717-2
Product Code:  MEMO/293/1460.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Click above image for expanded view
Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation
Erik Bates North Carolina State University, Raleigh, North Carolina
Softcover ISBN:  978-1-4704-6791-3
Product Code:  MEMO/293/1460
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7717-2
Product Code:  MEMO/293/1460.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6791-3
eBook ISBN:  978-1-4704-7717-2
Product Code:  MEMO/293/1460.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: 2932024; 92 pp
    MSC: Primary 60; 82

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Outline of Manuscript
    • Acknowledgments
    • 1. Introduction: Definitions and Main Questions
    • 2. Variational Formula for the Time Constant
    • 3. Applications of Variational Formula
    • 4. First-Passage Percolation on $d$-ary Tree
    • 5. Negative Weights and Passage Times along Geodesics
    • 6. Construction of the Constraint Set
    • 7. Proof of Variational Formula
    • 8. Proof of Empirical Measure Convergence in Tree Case
    • List of Symbols
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2932024; 92 pp
MSC: Primary 60; 82

View the abstract.

  • Chapters
  • Outline of Manuscript
  • Acknowledgments
  • 1. Introduction: Definitions and Main Questions
  • 2. Variational Formula for the Time Constant
  • 3. Applications of Variational Formula
  • 4. First-Passage Percolation on $d$-ary Tree
  • 5. Negative Weights and Passage Times along Geodesics
  • 6. Construction of the Constraint Set
  • 7. Proof of Variational Formula
  • 8. Proof of Empirical Measure Convergence in Tree Case
  • List of Symbols
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.