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arXiv · 1703.10452

Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations

Tadahiro Oh·Laurent Thomann
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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.

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Tadahiro Oh, Laurent Thomann. 2017-09-19. Invariant Gibbs measures for the 2-d defocusing nonlinear wave equations. https://arxiv.org/abs/1703.10452

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