29 citations · 98 across the 15 of their papers we have counts for
29 papers
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,…
Hyperbolic Anderson model with Lévy white noise: spatial ergodicity and fluctuation
Raluca M. Balan, Guangqu Zheng
In this paper, we study one-dimensional hyperbolic Anderson models (HAM) driven by space-time pure-jump Lévy white noise in a finite-variance setting. Motivated by recent active re…