40 citations · 292 across the 28 of their papers we have counts for
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Spatial averages for the Parabolic Anderson model driven by rough noise
David Nualart, Xiaoming Song, Guangqu Zheng
In this paper, we study spatial averages for the parabolic Anderson model in the Skorohod sense driven by rough Gaussian noise, which is colored in space and time. We include the c…
Spatial ergodicity of stochastic wave equations in dimensions 1,2 and 3
David Nualart, Guangqu Zheng
In this note, we study a large class of stochastic wave equations with spatial dimension less than or equal to . Via a soft application of Malliavin calculus, we establish that…
Central limit theorems for stochastic wave equations in dimensions one and two
David Nualart, Guangqu Zheng
Fix , we consider a -dimensional stochastic wave equation driven by a Gaussian noise, which is temporally white and colored in space such that the spatial correlati…
Averaging 2d stochastic wave equation
Raul Bolaños Guerrero, David Nualart, Guangqu Zheng
We consider a 2D stochastic wave equation driven by a Gaussian noise, which is temporally white and spatially colored described by the Riesz kernel. Our first main result is the fu…