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Focusing $\Phi^4_3$-Model with a Hartree-Type Nonlinearity
 
Tadahiro Oh Beijing Institute of Technology, Beijing, People’s Republic of China and University of Edinburgh, Edinburgh, United Kingdom
Mamoru Okamoto Osaka University, Osaka, Japan
Leonardo Tolomeo Universität Bonn, Bonn, Germany and The University of Edinburgh, Edinburgh, United Kingdom
Softcover ISBN:  978-1-4704-7193-4
Product Code:  MEMO/304/1529
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8008-0
Product Code:  MEMO/304/1529.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7193-4
eBook: ISBN:  978-1-4704-8008-0
Product Code:  MEMO/304/1529.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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Focusing $\Phi^4_3$-Model with a Hartree-Type Nonlinearity
Tadahiro Oh Beijing Institute of Technology, Beijing, People’s Republic of China and University of Edinburgh, Edinburgh, United Kingdom
Mamoru Okamoto Osaka University, Osaka, Japan
Leonardo Tolomeo Universität Bonn, Bonn, Germany and The University of Edinburgh, Edinburgh, United Kingdom
Softcover ISBN:  978-1-4704-7193-4
Product Code:  MEMO/304/1529
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-8008-0
Product Code:  MEMO/304/1529.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7193-4
eBook ISBN:  978-1-4704-8008-0
Product Code:  MEMO/304/1529.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: 3042024; 143 pp
    MSC: Primary 35; 60; 81

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Invariant dynamics for Hartree SdNLW
    • 3. Notations and basic lemmas
    • 4. On the stochastic terms
    • 5. Construction of the Gibbs measures
    • 6. Further analysis in the defocusing case: $0 < \beta \leq 1$
    • 7. Paracontrolled operators
    • 8. Local well-posedness of Hartree SdNLW
    • 9. Invariant Gibbs dynamics
    • A. On the parabolic stochastic quantization of the focusing Hartree Gibbs measure
    • B. On the regularities of the stochastic terms
    • C. Absolute continuity with respectto the shifted measure
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3042024; 143 pp
MSC: Primary 35; 60; 81

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Invariant dynamics for Hartree SdNLW
  • 3. Notations and basic lemmas
  • 4. On the stochastic terms
  • 5. Construction of the Gibbs measures
  • 6. Further analysis in the defocusing case: $0 < \beta \leq 1$
  • 7. Paracontrolled operators
  • 8. Local well-posedness of Hartree SdNLW
  • 9. Invariant Gibbs dynamics
  • A. On the parabolic stochastic quantization of the focusing Hartree Gibbs measure
  • B. On the regularities of the stochastic terms
  • C. Absolute continuity with respectto the shifted measure
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.