Wei-Liang Sun

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20112025

most citedTensor Products of Classifiable C*-algebras

7 citations · 19 across the 12 of their papers we have counts for

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4 papers · 1 filter

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…

math.PR2022★ 3 cited

Moment ratio inequality of bivariate Gaussian distribution and three-dimensional Gaussian product inequality

Oliver Russell, Wei Sun

We prove the three-dimensional Gaussian product inequality (GPI) $E [X_{1}^{2} X_{2}^{2 m_{2}} X_{3}^{2 m_{3}}] \geq E [X_{1}^{2}] E [X_{2}^{2 m_{2}}] E [X_{3}^{2 m_{3}}]$ for any centered Gaussian random vector $(…

math.PR2022★ 1 cited

An Opposite Gaussian Product Inequality

Oliver Russell, Wei Sun

The long-standing Gaussian product inequality (GPI) conjecture states that $E [\prod_{j = 1}^{n} ∣ X_{j} ∣^{α_{j}}] \geq \prod_{j = 1}^{n} E [∣ X_{j} ∣^{α_{j}}]$ for any centered Gaussian random vector…

math.PR2022★ 4 cited

Using Sums-of-Squares to Prove Gaussian Product Inequalities

Oliver Russell, Wei Sun

The long-standing Gaussian product inequality (GPI) conjecture states that $E [\prod_{j = 1}^{n} X_{j}^{2 m_{j}}] \geq \prod_{j = 1}^{n} E [X_{j}^{2 m_{j}}]$ for any centered Gaussian random vector $…