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. 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
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.
