A short proof of the strong three dimensional Gaussian product inequality

Fuente: arXiv
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Main Authors: Herry, Ronan, Malicet, Dominique, Poly, Guillaume
Format: Preprint
Published: 2022
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author Herry, Ronan
Malicet, Dominique
Poly, Guillaume
author_facet Herry, Ronan
Malicet, Dominique
Poly, Guillaume
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2211_07314
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A short proof of the strong three dimensional Gaussian product inequality
Herry, Ronan
Malicet, Dominique
Poly, Guillaume
Probability
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.
title A short proof of the strong three dimensional Gaussian product inequality
topic Probability
url https://arxiv.org/abs/2211.07314