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20182025
most citedQuantitative central limit theorems for the parabolic Anderson model driven by colored noises

10 citations · 18 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.PR2023★ 2 cited

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 a…

math.PR2023

Gaussian fluctuations for the wave equation under rough random perturbations

Raluca M. Balan, Jingyu Huang, Xiong Wang +2

In this article, we consider the stochastic wave equation in spatial dimension , with linear term multiplying the noise. This equation is driven by a Gaussian noise w…

math.PR2023

Asymptotic properties of stochastic partial differential equations in the sublinear regime

Le Chen, Panqiu Xia

In this paper, we investigate stochastic heat equation with sublinear diffusion coefficients. By assuming certain concavity of the diffusion coefficient, we establish non-trivial m…

math.PR2023

Moment asymptotics for super-Brownian motions

Yaozhong Hu, Xiong Wang, Panqiu Xia +1

In this paper, long time and high order moment asymptotics for super-Brownian motions (sBm's) are studied. By using a moment formula for sBm's (e.g. Theorem 3.1, Hu et al. Ann. App…

math.PR2023

Reaction cleaving and complex-balanced distributions for chemical reaction networks with general kinetics

Linard Hoessly, Carsten Wiuf, Panqiu Xia

Reaction networks have become a major modelling framework in the biological sciences from epidemiology and population biology to genetics and cellular biology. In recent years, muc…