186 citations · 1k across the 57 of their papers we have counts for
4 papers · 2 filters
Quantitative analysis of boundary layers in periodic homogenization
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat +1
We prove quantitative estimates on the rate of convergence for the oscillating Dirichlet problem in periodic homogenization of divergence-form uniformly elliptic systems. The estim…
Scaling limits of energies and correctors
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat
In stochastic homogenization of elliptic equations, the corrector plays a central role. Under a finite range of dependence assumption on the coefficient field, we show that the lar…
Optimal quantitative estimates in stochastic homogenization for elliptic equations in nondivergence form
Scott Armstrong, Jessica Lin
We prove quantitative estimates for the stochastic homogenization of linear uniformly elliptic equations in nondivergence form. Under strong independence assumptions on the coeffic…
The additive structure of elliptic homogenization
Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat
One of the principal difficulties in stochastic homogenization is transferring quantitative ergodic information from the coefficients to the solutions, since the latter are nonloca…