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Asymptotics of Hankel Determinants with a Multi-cut Regular Potential and Fisher-Hartwig Singularities
 
Christophe Charlier :  Lund University, Lund, Sweden
Benjamin Fahs :  KTH Royal Institute of Technology, Lindstedtsvägen, Sweden
Christian Webb :  University of Helsinki, Helsinki, Finland
Mo Dick Wong :  Durham University, Durham, United Kingdom
Softcover ISBN:  978-1-4704-7396-9
Product Code:  MEMO/310/1567
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8183-4
Product Code:  MEMO/310/1567.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7396-9
eBook: ISBN:  978-1-4704-8183-4
Product Code:  MEMO/310/1567.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Add to cart
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Asymptotics of Hankel Determinants with a Multi-cut Regular Potential and Fisher-Hartwig Singularities
Christophe Charlier :  Lund University, Lund, Sweden
Benjamin Fahs :  KTH Royal Institute of Technology, Lindstedtsvägen, Sweden
Christian Webb :  University of Helsinki, Helsinki, Finland
Mo Dick Wong :  Durham University, Durham, United Kingdom
Softcover ISBN:  978-1-4704-7396-9
Product Code:  MEMO/310/1567
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8183-4
Product Code:  MEMO/310/1567.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7396-9
eBook ISBN:  978-1-4704-8183-4
Product Code:  MEMO/310/1567.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 310; 2025; 138 pp
    MSC: Primary 60; Secondary 35; 47; 41

    View the abstract.
  • Table of Contents
     
     
    • Chapters
    • 1. Introduction and Main Results
    • 2. Differential Identities and Overview of the Proofs
    • 3. Analysis of $\theta $-functions
    • 4. Analysis of the Riemann-Hilbert Problem for $Y$
    • 5. The Main Parametrix
    • 6. Local Parametrices
    • 7. Solving the Small Norm Problem
    • 8. Ratio Asymptotics for Non-singular Symbols
    • 9. Ratio Asymptotics for Fisher-Hartwig Symbols
    • 10. Partition Function Asymptotics for the $k$-cut Chebyshev Potential
    • 11. Partition Function Asymptotics
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 310; 2025; 138 pp
MSC: Primary 60; Secondary 35; 47; 41

View the abstract.
  • Chapters
  • 1. Introduction and Main Results
  • 2. Differential Identities and Overview of the Proofs
  • 3. Analysis of $\theta $-functions
  • 4. Analysis of the Riemann-Hilbert Problem for $Y$
  • 5. The Main Parametrix
  • 6. Local Parametrices
  • 7. Solving the Small Norm Problem
  • 8. Ratio Asymptotics for Non-singular Symbols
  • 9. Ratio Asymptotics for Fisher-Hartwig Symbols
  • 10. Partition Function Asymptotics for the $k$-cut Chebyshev Potential
  • 11. Partition Function Asymptotics
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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