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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

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
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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Book DetailsMemoirs of the American Mathematical SocietyVolume: 308; 2025; 114 ppMSC: Primary 81; Secondary 60; 35
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Table of Contents
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Chapters
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1. Introduction
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2. Weighted Besov spaces, paraproducts and estimates of functions
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3. Infinite-dimensional Ornstein-Uhlenbeck process
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4. Approximation equations and their transformation
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5. Bounds for the behaviour of $X^{M,N,(2)}$ in $N$
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6. Tightness of the laws of $\{ X^{M,N}\}$
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7. Properties of the constructed $\Phi ^4_3$-measure
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A. A sufficient condition for integrability
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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: 308; 2025; 114 pp
MSC: Primary 81; Secondary 60; 35
-
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.