13 citations · 39 across the 20 of their papers we have counts for
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Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein's method
Le Chen, Davar Khoshnevisan, David Nualart +1
Suppose that is the solution to a -dimensional stochastic heat equation driven by a Gaussian noise that is white in time and has a spat…
Gaussian fluctuation for spatial average of parabolic Anderson model with Neumann/Dirichlet/periodic boundary conditions
Fei Pu
Consider the parabolic Anderson model on the interval with Neumann, Dirichlet or periodic boundary conditions, driven by space…
Spatial stationarity, ergodicity and CLT for parabolic Anderson model with delta initial condition in dimension
Davar Khoshnevisan, David Nualart, Fei Pu
Suppose that is the solution to a -dimensional parabolic Anderson model with delta initial condition and driven by a Gaussian noise tha…
Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial condition
Le Chen, Davar Khoshnevisan, David Nualart +1
Let denote the solution to the parabolic Anderson model with initial condition and driven by space-time white noise on $\mathbb{R}_+\t…
A CLT for dependent random variables, with an application to an infinite system of interacting diffusion processes
Le Chen, Davar Khoshnevisan, David Nualart +1
We present a central limit theorem for stationary random fields that are short-range dependent and asymptotically independent. As an application, we present a central limit theorem…