5 papers
Almost sure central limit theorems via chaos expansions and related results
Leonardo Maini, Maurizia Rossi, Guangqu Zheng
In this work, we investigate the asymptotic behavior of integral functionals of stationary Gaussian random fields as the integration domain tends to be the whole space. More precis…
Functional second-order Gaussian Poincaré inequalities
Anna Vidotto, Guangqu Zheng
In this paper, we work in the framework of Hilbert-valued Wiener structures and derive a functional version of the second-order Gaussian Poincaré inequality that leads to abstract…
Central limit theorem for stochastic nonlinear wave equation with pure-jump Lévy white noise
Raluca M. Balan, Guangqu Zheng
In this paper, we study the random field solution to the stochastic nonlinear wave equation (SNLW) with constant initial conditions and multiplicative noise , where t…
Almost sure central limit theorems for parabolic/hyperbolic Anderson models with Gaussian colored noises
Panqiu Xia, Guangqu Zheng
This short note is devoted to establishing the almost sure central limit theorem for the parabolic/hyperbolic Anderson models driven by colored-in-time Gaussian noises, completing…
Almost sure central limit theorem for the hyperbolic Anderson model with Lévy white noise
Raluca M. Balan, Panqiu Xia, Guangqu Zheng
In this paper, we present an almost sure central limit theorem (ASCLT) for the hyperbolic Anderson model (HAM) with a Lévy white noise in a finite-variance setting, complementing…