$Construction of a Non-Gaussian and Rotation-Invariant $/Phi ^4$-Measure and Associated Flow on $/mathbb {R}^3$ Through Stochastic Quantization - Sergio Albeverio, Seiichiro Kusuoka$

Construction of a Non-Gaussian and Rotation-Invariant $/Phi ^4$-Measure and Associated Flow on $/mathbb {R}^3$ Through Stochastic Quantization

Sergio Albeverio, Seiichiro Kusuoka (Autoren)

Buch | Softcover

114 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7318-1 (ISBN)

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A platform for extensive peer-reviewed research in both pure and applied mathematics, this series publishes lengthy monographs and collections of related studies in book form. Guided by an expert editorial committee, every work delivers profound insights into mathematical theory and practical applications.

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Sergio Albeverio, University of Bonn, Germany, and Seiichiro Kusuoka, Kyoto University, Japan

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

Erscheinungsdatum	02.07.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4704-7318-6 / 1470473186
ISBN-13	978-1-4704-7318-1 / 9781470473181
Zustand	Neuware