40 citations · 292 across the 28 of their papers we have counts for
6 papers · 2 filters
maximal inequalities for Gaussian subordination with applications to Breuer--Major--Donsker principles
Dionysis Milesis, Guangqu Zheng
In this paper, we establish an maximal inequality for partial sums of Gaussian-subordinated random variables. More precisely, let belong to $L^2(γ…
Gamma approximation and Poisson--Gaussian invariance principle on Poisson chaos
Dionysis Milesis, Guangqu Zheng
We study centered Gamma approximation and a same-kernel Poisson--Gaussian invariance principle on fixed Poisson chaoses. For Gamma approximation, a martingale-core argument extends…
Coalescence and fluctuations of O'Connell$\unicode{x2013}$Yor polymers via the free-energy correlation profile
Firas Rassoul-Agha, Xiao Shen, Ruixuan Zhang +1
We establish an identity relating the spatial derivative of a two-point free-energy correlation to two fundamental geometric quantities: the annealed probability that two independe…
Four-moment criteria for Poisson convergence on Poisson and Rademacher chaoses
Guangqu Zheng
In this paper, we establish Poisson limit theorems on Poisson and Rademacher chaoses. Our principal result is a total-variation bound, valid in both settings, for an integer-valued…
A Kolmogorov fourth-moment bound on Poisson chaos via a martingale core
Guangqu Zheng
For any finite family of Poisson multiple integrals and any finite , we construct a common increasing filtration generated by finitely many exact Poisson counts such that t…
Breuer-Major-Donsker invariance principle
Paul Mansanarez, Guillaume Poly, Guangqu Zheng
We prove a Breuer-Major-type Donsker's invariance principle for stationary Gaussian sequences under the natural \emph{finite-variance assumption} on the test function. This result,…