Sharp convergence of nonlinear functionals of a class of Gaussian random fields
Probability
2018-10-10 v1
Abstract
We present a self-contained proof of a uniform bound on multi-point correlations of trigonometric functions of a class of Gaussian random fields. It corresponds to a special case of the general situation considered in [Hairer-Xu], but with improved estimates. As a consequence, we establish convergence of a class of Gaussian fields composite with more general functions. These bounds and convergences are useful ingredients to establish weak universalities of several singular stochastic PDEs.
Cite
@article{arxiv.1810.03850,
title = {Sharp convergence of nonlinear functionals of a class of Gaussian random fields},
author = {Weijun Xu},
journal= {arXiv preprint arXiv:1810.03850},
year = {2018}
}
Comments
22 pages