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Construction of a Non-Gaussian and Rotation-Invariant $\Phi^4$-Measure and Associated Flow on $\mathbb{R}^3$ Through Stochastic Quantization
 
Sergio Albeverio University of Bonn, Bonn, Germany
Seiichiro Kusuoka Kyoto University, Kyoto, Japan
Softcover ISBN:  978-1-4704-7318-1
Product Code:  MEMO/308/1558
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: June 04, 2025
eBook ISBN:  978-1-4704-8145-2
Product Code:  MEMO/308/1558.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7318-1
eBook: ISBN:  978-1-4704-8145-2
Product Code:  MEMO/308/1558.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: June 04, 2025
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Construction of a Non-Gaussian and Rotation-Invariant $\Phi^4$-Measure and Associated Flow on $\mathbb{R}^3$ Through Stochastic Quantization
Sergio Albeverio University of Bonn, Bonn, Germany
Seiichiro Kusuoka Kyoto University, Kyoto, Japan
Softcover ISBN:  978-1-4704-7318-1
Product Code:  MEMO/308/1558
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: June 04, 2025
eBook ISBN:  978-1-4704-8145-2
Product Code:  MEMO/308/1558.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7318-1
eBook ISBN:  978-1-4704-8145-2
Product Code:  MEMO/308/1558.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: June 04, 2025
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3082025; 114 pp
    MSC: Primary 81; Secondary 60; 35

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Weighted Besov spaces, paraproducts and estimates of functions
    • 3. Infinite-dimensional Ornstein-Uhlenbeck process
    • 4. Approximation equations and their transformation
    • 5. Bounds for the behaviour of $X^{M,N,(2)}$ in $N$
    • 6. Tightness of the laws of $\{ X^{M,N}\}$
    • 7. Properties of the constructed $\Phi ^4_3$-measure
    • A. A sufficient condition for integrability
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3082025; 114 pp
MSC: Primary 81; Secondary 60; 35

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Weighted Besov spaces, paraproducts and estimates of functions
  • 3. Infinite-dimensional Ornstein-Uhlenbeck process
  • 4. Approximation equations and their transformation
  • 5. Bounds for the behaviour of $X^{M,N,(2)}$ in $N$
  • 6. Tightness of the laws of $\{ X^{M,N}\}$
  • 7. Properties of the constructed $\Phi ^4_3$-measure
  • A. A sufficient condition for integrability
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.