11 citations · 40 across the 39 of their papers we have counts for
4 papers · 1 filter
Unlinking Theorem for Symmetric Quasi-convex Polynomials
He-Jing Hong, Ze-Chun Hu
Let be the standard Gaussian measure on and be a random vector on with the law . U-conjecture states that if and are two polyno…
The 4-D Gaussian Random Vector Maximum Conjecture and the 3-D Simplex Mean Width Conjecture
Wei Sun, Ze-Chun Hu, Guolie Lan
We prove the four-dimensional Gaussian random vector maximum conjecture. This conjecture asserts that among all centered Gaussian random vectors with $E[X_i^2…
A Note on the Gaussian Minimum Conjecture
Yang-Fan Zhong, Ting Ma, Ze-Chun Hu
Let and be a centered Gaussian random vector. The Gaussian minimum conjecture says that $E\left(\min_{1\leq i\leq n}|X_i|\right)\geq E\left(\min_{1\…
A Note on Convergence of Random Variables
Ze-Chun Hu, Ting Ma, Xiu-Ju Zhu
In this note, convergence of random variables will be revisited. We will give the answers to 5 questions among the 6 open questions introduced in (Convergence rates in the law of l…