Multiple Points of Gaussian Random Fields
Probability
2021-02-03 v2
Abstract
This paper is concerned with the existence of multiple points of Gaussian random fields. Under the framework of Dalang et al. (2017), we prove that, for a wide class of Gaussian random fields, multiple points do not exist in critical dimensions. The result is applicable to fractional Brownian sheets and the solutions of systems of stochastic heat and wave equations.
Keywords
Cite
@article{arxiv.1911.09793,
title = {Multiple Points of Gaussian Random Fields},
author = {Robert C. Dalang and Cheuk Yin Lee and Carl Mueller and Yimin Xiao},
journal= {arXiv preprint arXiv:1911.09793},
year = {2021}
}
Comments
to appear in EJP