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20192025
most citedThe 4-D Gaussian Random Vector Maximum Conjecture and the 3-D Simplex Mean Width Conjecture

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math.PR2025

Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension

Guolie Lan, Frédéric Ouimet, Wei Sun

This paper studies Gaussian product inequalities (GPIs) for centered Gaussian random vectors when positive and negative exponents appear simultaneously. We prove a quantitative low…