Focusing $/Phi ^4_3$-Model with a Hartree-Type Nonlinearity

Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo (Autoren)

Buch | Softcover

143 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7193-4 (ISBN)

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Collecting a series of extensive, theme-based research papers, this publication delves into diverse areas of pure and applied mathematics. Each study is rigorously peer-reviewed by an expert editorial committee, offering cohesive volumes that deepen the understanding of complex mathematical ideas.

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.

Tadahiro Oh, Beijing Institute of Technology, People's Republic of China, and University of Edinburgh, United Kingdom, Mamoru Okamoto, Osaka University, Japan. Leonardo Tolomeo, Universitat Bonn, Germany, and The University of Edinburgh, United Kingdom.

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

Erscheinungsdatum	04.03.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4704-7193-0 / 1470471930
ISBN-13	978-1-4704-7193-4 / 9781470471934
Zustand	Neuware