Jingyu Li

collaborators

2 papers

math.PR2023

Convergence of densities of spatial averages of the linear stochastic heat equation

Wanying Zhang, Yong Zhang, Jingyu Li

Let ${u (t, x)}_{t > 0, x \in R^{d}}$ denote the solution to the linear (fractional) stochastic heat equation. We establish rates of convergence with respect to the uniform…

math.PR2022

Functional central limit theorems for spatial averages of the parabolic Anderson model with delta initial condition in dimension $d \geq 1$

Wanying Zhang, Yong Zhang, Jingyu Li

Let ${u (t, x)}_{t > 0, x \in R^{d}}$ denote the solution to a $d$ -dimensional parabolic Anderson model with delta initial condition and driven by a multiplicative noise tha…

Convergence of densities of spatial averages of the linear stochastic heat equation

Functional central limit theorems for spatial averages of the parabolic Anderson model with delta initial condition in dimension d≥1

Functional central limit theorems for spatial averages of the parabolic Anderson model with delta initial condition in dimension $d \geq 1$