41 citations · 189 across the 38 of their papers we have counts for
4 papers · 1 filter
A central limit theorem for fluctuations in one dimensional stochastic homogenization
Yu Gu
In this paper, we analyze the random fluctuations in a one dimensional stochastic homogenization problem and prove a central limit result, i.e., the first order fluctuations can be…
The random Schrödinger equation: slowly decorrelating time-dependent potentials
Yu Gu, Lenya Ryzhik
We analyze the weak-coupling limit of the random Schrödinger equation with low frequency initial data and a slowly decorrelating random potential. For the probing signal with a suf…
The random Schrödinger equation: homogenization in time-dependent potentials
Yu Gu, Lenya Ryzhik
We analyze the solutions of the Schrödinger equation with the low frequency initial data and a time-dependent weakly random potential. We prove a homogenization result for the low…
Scaling limit of fluctuations in stochastic homogenization
Yu Gu, Jean-Christophe Mourrat
We investigate the global fluctuations of solutions to elliptic equations with random coefficients in the discrete setting. In dimension and for i.i.d.\ coefficients, we…