10 citations · 18 across the 13 of their papers we have counts for
15 papers
Discrete Feynman-Kac approximation for parabolic Anderson model using random walks
Panqiu Xia, Jiayu Zheng
In this paper, we introduce a natively positive approximation method based on the Feynman-Kac representation using random walks, to approximate the solution to the one-dimensional…
Identifiability of SDEs for reaction networks
Louis Faul, Linard Hoessly, Panqiu Xia
Biochemical reaction networks are widely applied across scientific disciplines to model complex dynamic systems. We investigate the diffusion approximation of reaction networks wit…
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…
Asymptotic analysis for stationary distributions of scaled reaction networks
Linard Hoessly, Carsten Wiuf, Panqiu Xia
We study stationary distributions in the context of stochastic reaction networks. In particular, we are interested in complex balanced reaction networks and reduction of such netwo…
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…
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…
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…
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…
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…
On mean-field super-Brownian motions
Yaozhong Hu, Michael A. Kouritzin, Panqiu Xia +1
The mean-field stochastic partial differential equation (SPDE) corresponding to a mean-field super-Brownian motion (sBm) is obtained and studied. In this mean-field sBm, the branch…
Quantitative central limit theorems for the parabolic Anderson model driven by colored noises
David Nualart, Panqiu Xia, Guangqu Zheng
In this paper, we study the spatial averages of the solution to the parabolic Anderson model driven by a space-time Gaussian homogeneous noise that is colored in time and space. We…
On the sum of chemical reactions
Linard Hoessly, Carsten Wiuf, Panqiu Xia
It is standard in chemistry to represent a sequence of reactions by a single overall reaction, often called a complex reaction in contrast to an elementary reaction. Photosynthesis…
Intermittency for the Parabolic Anderson model of Skorohod type driven by a rough noise
Nicolas Ma, David Nualart, Panqiu Xia
In this paper, we study the parabolic Anderson model of Skorohod type driven by a fractional Gaussian noise in time with Hurst parameter . By using the Feynman-Kac…
On nonlinear rough paths
David Nualart, Panqiu Xia
In this paper, we establish the theory of nonlinear rough paths. We give the definition of nonlinear rough paths, and develop the integrals. Then, we study differential equations d…
Hölder continuity of the solutions to a class of SPDEs arising from multidimensional superprocesses in random environment
Yaozhong Hu, David Nualart, Panqiu Xia
We consider a -dimensional branching particle system in a random environment. Suppose that the initial measures converge weakly to a measure with bounded density. Under the Mytn…