2 citations · 2 across the 4 of their papers we have counts for
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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…
Some explorations on two conjectures about Rademacher sequences
Ze-Chun Hu, Guolie Lan, Wei Sun
In this paper, we explore two conjectures about Rademacher sequences. Let be a Rademacher sequence, i.e., a sequence of independent -valued symmetric random varia…
The Three-Dimensional Gaussian Product Inequality
Guolie Lan, Ze-Chun Hu, Wei Sun
We prove the 3-dimensional Gaussian product inequality, i.e., for any real-valued centered Gaussian random vector and , it holds that ${\mathbf{E}}[X^{2m…
Products of Conditional Expectation Operators: Convergence and Divergence
Guolie Lan, Ze-Chun Hu, Wei Sun
In this paper, we investigate the convergence of products of conditional expectation operators. We show that if is a probability space that is not purely atomic, th…