Author

Guangqu Zheng

h-index 13 View on Semantic Scholar

We have 3 of 34 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

$L^p$ maximal inequalities for Gaussian subordination with applications to Breuer--Major--Donsker principles

In this paper, we establish an $L^2$ maximal inequality for partial sums of Gaussian-subordinated random variables. More precisely, let $f:\mathbb{R}\to\mathbb{R}$ belong to $L^2(\gamma)$ and have Hermite rank at least $d$, where $\gamma$ denotes the standard Gaussian measure. If the covariance matrix of the underlying...

D. Milesis, Guang-Qu Zheng · 0 citations

Preprint Sep 2026

Gamma approximation and Poisson--Gaussian invariance principle on Poisson chaos

We study centered Gamma approximation and a same-kernel Poisson--Gaussian invariance principle on fixed Poisson chaoses. For Gamma approximation, a martingale-core argument extends the carr\'e-du-champ and $d_2$ estimates of D\"obler and Peccati (Ann. Probab., 2018) from regular kernels to every fourth-integrable chaos...

D. Milesis, Guang-Qu Zheng · 0 citations

Preprint Jul 2026

A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core

For any finite family of Poisson multiple integrals and any finite $p\geq2$, we construct a common increasing filtration generated by finitely many exact Poisson counts such that the associated conditional expectations converge in $L^p$, remain in their original chaoses, and have bounded step kernels with finite-measur...

Guangqu Zheng · 1 citation · ⚡1