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Geodesics in the Brownian Map: Strong Confluence and Geometric Structure
 
Jason Miller Statistical Laboratory, University of Cambridge, Cambridge, United Kingdom
Wei Qian University of Hong Kong, Hong Kong, People’s Republic of China and Univerité Paris-Saclay, Orsay, France
Softcover ISBN:  978-1-4704-7615-1
Product Code:  MEMO/315/1602
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: December 14, 2025
eBook ISBN:  978-1-4704-8513-9
Product Code:  MEMO/315/1602.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7615-1
eBook: ISBN:  978-1-4704-8513-9
Product Code:  MEMO/315/1602.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: December 14, 2025
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Geodesics in the Brownian Map: Strong Confluence and Geometric Structure
Jason Miller Statistical Laboratory, University of Cambridge, Cambridge, United Kingdom
Wei Qian University of Hong Kong, Hong Kong, People’s Republic of China and Univerité Paris-Saclay, Orsay, France
Softcover ISBN:  978-1-4704-7615-1
Product Code:  MEMO/315/1602
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: December 14, 2025
eBook ISBN:  978-1-4704-8513-9
Product Code:  MEMO/315/1602.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7615-1
eBook ISBN:  978-1-4704-8513-9
Product Code:  MEMO/315/1602.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: December 14, 2025
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3152025; 117 pp
    MSC: Primary 60; Secondary 54

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminaries
    • 3. Close geodesics must intersect near their endpoints
    • 4. Finite number of geodesics
    • 5. Proof of strong confluence and topology of geodesics
    • 6. Exponent for disjoint geodesics from a point
    • 7. Completion of proofs of dimension upper bounds
    • 8. Points connected by $5$, $7$, and $8$ geodesics
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3152025; 117 pp
MSC: Primary 60; Secondary 54

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Preliminaries
  • 3. Close geodesics must intersect near their endpoints
  • 4. Finite number of geodesics
  • 5. Proof of strong confluence and topology of geodesics
  • 6. Exponent for disjoint geodesics from a point
  • 7. Completion of proofs of dimension upper bounds
  • 8. Points connected by $5$, $7$, and $8$ geodesics
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.