5 papers · 1 filter
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…
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…
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…
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…