41 citations · 189 across the 38 of their papers we have counts for
4 papers · 1 filter
Chaos expansion of 2D parabolic Anderson model
Yu Gu, Jingyu Huang
We prove a chaos expansion for the 2D parabolic Anderson Model in small time, with the expansion coefficients expressed in terms of the annealed density function of the polymer in…
The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher
Yu Gu, Lenya Ryzhik, Ofer Zeitouni
We consider the heat equation with a multiplicative Gaussian potential in dimensions . We show that the renormalized solution converges to the solution of a deterministic…
The Schrödinger equation with spatial white noise: the average wave function
Yu Gu, Tomasz Komorowski, Lenya Ryzhik
We prove a representation for the average wave function of the Schrödinger equation with a white noise potential in , in terms of the renormalized self-intersection local ti…
Moments of 2D Parabolic Anderson Model
Yu Gu, Weijun Xu
In this note, we use the Feynman-Kac formula to derive a moment representation for the 2D parabolic Anderson model in small time, which is related to the intersection local time of…