Wei-Liang Sun

activity

20112025

most citedTensor Products of Classifiable C*-algebras

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

collaborators

12 papers

math.RA2025

Cyclotomic Matrices and Power Difference Sets

Wei-Liang Sun

The cyclotomic matrix is commonly used to arrange cyclotomic numbers in a convenient format. A natural question is whether the structure of the matrix can reflect properties of the…

math.RA2025

A Note on Idempotent Matrices: The Poset Structure and The Construction

Sen-Peng Eu, Yong-Siang Lin, Wei-Liang Sun

Idempotent elements play a fundamental role in ring theory, as they encode significant information about the underlying algebraic structure. In this paper, we study idempotent matr…

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.NT2024

Modulus representation of the Riemann $ξ$ function and polynomial inequalities equivalent to the Riemann hypothesis

Wei Sun

We use the Jacobi theta function to give a representation of the modulus of the Riemann $ξ$ function. Based on this modulus representation, we show that the Riemann hypothesis is e…

math.NT2023

An equivalent inequality for the Riemann hypothesis

Wei Sun

We present a purely analytical inequality which is equivalent to the Riemann hypothesis (RH). The proof of the equivalence is based on a representation of the modulus of the Rieman…

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 $…

math.RA2020★ 2 cited

The Multiplicative Jordan Decomposition in the Integral Group Ring $Z [Q_{8} \times C_{p}]$

Wentang Kuo, Wei-Liang Sun

Let $p$ be a prime such that the multiplicative order $m$ of $2$ modulo $p$ is even. We prove that the integral group ring $Z [Q_{8} \times C_{p}]$ has the multiplicative Jorda…

math.OA2019

C*-algebras of a Cantor system with finitely many minimal subsets: structures, K-theories, and the index map

Sergey Bezuglyi, Zhuang Niu, Wei Sun

We study homeomorphisms of a Cantor set with $k$ ( $k < + \infty$ ) minimal invariant closed (but not open) subsets; we also study crossed product C*-algebras associated to these Cant…

math.OA2012★ 7 cited

Tensor Products of Classifiable C*-algebras

Huaxin Lin, Wei Sun

Let $A_{1}$ be the class of all unital separable simple $C^{*}$ -algebras $A$ such that $A \otimes U$ has tracial rank at most one for all UHF-algebras of infinite type. It has be…

math.OA2011★ 2 cited

Crossed Product $C^{*}$ -algebras of Minimal Dynamical Systems on the Product of the Cantor Set and the Torus

Wei Sun

This paper studies the relationship between minimal dynamical systems on the product of the Cantor set ( $X$ ) and torus ($\T^2$) and their corresponding crossed product $C^{*}$ -algebr…

Cyclotomic Matrices and Power Difference Sets

A Note on Idempotent Matrices: The Poset Structure and The Construction

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

Modulus representation of the Riemann ξ function and polynomial inequalities equivalent to the Riemann hypothesis

An equivalent inequality for the Riemann hypothesis

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

An Opposite Gaussian Product Inequality

Using Sums-of-Squares to Prove Gaussian Product Inequalities

The Multiplicative Jordan Decomposition in the Integral Group Ring Z[Q8​×Cp​]

C*-algebras of a Cantor system with finitely many minimal subsets: structures, K-theories, and the index map

Tensor Products of Classifiable C*-algebras

Crossed Product C∗-algebras of Minimal Dynamical Systems on the Product of the Cantor Set and the Torus

Modulus representation of the Riemann $ξ$ function and polynomial inequalities equivalent to the Riemann hypothesis

The Multiplicative Jordan Decomposition in the Integral Group Ring $Z [Q_{8} \times C_{p}]$

Crossed Product $C^{*}$ -algebras of Minimal Dynamical Systems on the Product of the Cantor Set and the Torus