71 citations · 352 across the 75 of their papers we have counts for
5 papers · 2 filters
Phase Analysis for a family of Stochastic Reaction-Diffusion Equations
Davar Khoshnevisan, Kunwoo Kim, Carl Mueller +1
We consider a reaction-diffusion equation of the type \[ \partial_tψ= \partial^2_xψ+ V(ψ) + λσ(ψ)\dot{W} \qquad\text{on }, \] subject to a "nice" init…
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…
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…