41 citations · 189 across the 38 of their papers we have counts for
5 papers · 1 filter
Gaussian fluctuations from the 2D KPZ equation
Yu Gu
We prove the two dimensional KPZ equation with a logarithmically tuned nonlinearity and a small coupling constant, scales to the Edwards-Wilkinson equation with an effective varian…
Fluctuations of the solutions to the KPZ equation in dimensions three and higher
Alexander Dunlap, Yu Gu, Lenya Ryzhik +1
We prove, using probabilistic techniques and analysis on the Wiener space, that the large scale fluctuations of the KPZ equation in with a small coupling constant, driven…
The random heat equation in dimensions three and higher: the homogenization viewpoint
Alexander Dunlap, Yu Gu, Lenya Ryzhik +1
We consider the stochastic heat equation , with a smooth space-time stationary Gaussian random field , in dimensions ,…
The 1D Schrödinger equation with a spacetime white noise: the average wave function
Yu Gu
For the 1D Schrödinger equation with a mollified spacetime white noise, we show that the average wave function converges to the Schrödinger equation with an effective potential aft…
Fluctuations of random semi-linear advection equations
Yu Gu, Tomasz Komorowski, Lenya Ryzhik
We consider a semi-linear advection equation driven by a highly-oscillatory space-time Gaussian random field, with the randomness affecting both the drift and the nonlinearity. In…