Guolie Lan

activity

20192025

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

2 citations · 2 across the 5 of their papers we have counts for

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Showing 2019 · math.PRShow all

3 papers · 2 filters

math.PR2019

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 $(ε_{i})$ be a Rademacher sequence, i.e., a sequence of independent ${- 1, 1}$ -valued symmetric random varia…

math.PR2019

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 $(X, Y, Z)$ and $m \in N$ , it holds that ${\mathbf{E}}[X^{2m…

math.PR2019

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 $(Ω, F, P)$ is a probability space that is not purely atomic, th…