40 citations · 292 across the 28 of their papers we have counts for
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math.PR2019★ 18 cited
Averaging Gaussian functionals
David Nualart, Guangqu Zheng
This paper consists of two parts. In the first part, we focus on the average of a functional over shifted Gaussian homogeneous noise and as the averaging domain covers the whole sp…
math.PR2019★ 5 cited
Oscillatory Breuer-Major theorem with application to the random corrector problem
David Nualart, Guangqu Zheng
In this paper, we present an oscillatory version of the celebrated Breuer-Major theorem that is motivated by the random corrector problem. As an application, we are able to prove n…
math.PR2019★ 29 cited
Gaussian fluctuations for the stochastic heat equation with colored noise
Jingyu Huang, David Nualart, Lauri Viitasaari +1
In this paper, we present a quantitative central limit theorem for the d-dimensional stochastic heat equation driven by a Gaussian multiplicative noise, which is white in time and…