Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations
Analysis of PDEs
2017-09-20 v2
Abstract
We consider the defocusing nonlinear wave equations (NLW) on the two-dimensional torus. In particular, we construct invariant Gibbs measures for the renormalized so-called Wick ordered NLW. We then prove weak universality of the Wick ordered NLW, showing that the Wick ordered NLW naturally appears as a suitable scaling limit of non-renormalized NLW with Gaussian random initial data.
Cite
@article{arxiv.1703.10452,
title = {Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations},
author = {Tadahiro Oh and Laurent Thomann},
journal= {arXiv preprint arXiv:1703.10452},
year = {2017}
}
Comments
21 pages. To appear in Annales de la Facult\'e des Sciences de Toulouse