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Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation
| 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 |
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Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation
| 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 293; 2024; 92 ppMSC: Primary 60; 82
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Table of Contents
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Chapters
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Outline of Manuscript
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Acknowledgments
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1. Introduction: Definitions and Main Questions
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2. Variational Formula for the Time Constant
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3. Applications of Variational Formula
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4. First-Passage Percolation on $d$-ary Tree
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5. Negative Weights and Passage Times along Geodesics
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6. Construction of the Constraint Set
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7. Proof of Variational Formula
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8. Proof of Empirical Measure Convergence in Tree Case
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List of Symbols
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 293; 2024; 92 pp
MSC: Primary 60; 82
-
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.