Distributions of polynomials in Gaussian random variables under structural constraints
Probability
2020-07-28 v1
Abstract
We study the regularity of densities of distributions that are polynomial images of the standard Gaussian measure on . We assume that the degree of a polynomial is fixed and that each variable enters to a power bounded by another fixed number.
Cite
@article{arxiv.2007.12742,
title = {Distributions of polynomials in Gaussian random variables under structural constraints},
author = {Egor Kosov},
journal= {arXiv preprint arXiv:2007.12742},
year = {2020}
}