Construction of a Non-Gaussian and Rotation-Invariant $\Phi ^4$-Measure and Associated Flow on $\mathbb {R}^3$ through Stochastic Quantization (Memoirs of the American Mathematical Society) / Albeverio, Sergio/ Kusuoka, Seiichiro

$Construction of a Non-Gaussian and Rotation-Invariant $\Phi ^4$-Measure and Associated Flow on $\mathbb {R}^3$ through Stochastic Quantization (Memoirs of the American Mathematical Society)$

Construction of a Non-Gaussian and Rotation-Invariant $\Phi ^4$-Measure and Associated Flow on $\mathbb {R}^3$ through Stochastic Quantization (Memoirs of the American Mathematical Society)

Albeverio, Sergio/ Kusuoka, Seiichiro

American Mathematical Society（2025/08発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 114 p.
言語 ENG
商品コード 9781470473181

Full Description

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.

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