A short proof of the strong three dimensional Gaussian product inequality
Probability
2024-06-21 v1
Abstract
We prove the strong form of the Gaussian product conjecture in dimension three. Our purely analytical proof simplifies previously known proofs based on combinatorial methods or computer-assisted methods, and allows us to solve the case of any triple of even positive integers which remained open so far.
Keywords
Cite
@article{arxiv.2211.07314,
title = {A short proof of the strong three dimensional Gaussian product inequality},
author = {Ronan Herry and Dominique Malicet and Guillaume Poly},
journal= {arXiv preprint arXiv:2211.07314},
year = {2024}
}