11 citations · 12 across the 2 of their papers we have counts for
2 papers
math.PR2023★ 1 cited
Mesoscopic averaging of the two-dimensional KPZ equation
Ran Tao
We study the limit of a local average of the KPZ equation in dimension with general initial data in the subcritical regime. Our result shows that a proper spatial averaging o…
math.PR2022★ 11 cited
Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two
Ran Tao
We study the Gaussian fluctuations of a nonlinear stochastic heat equation in spatial dimension two. The equation is driven by a Gaussian multiplicative noise. The noise is white i…