186 citations · 1k across the 57 of their papers we have counts for
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Lipschitz regularity for elliptic equations with random coefficients
Scott N. Armstrong, Jean-Christophe Mourrat
We develop a higher regularity theory for general quasilinear elliptic equations and systems in divergence form with random coefficients. The main result is a large-scale $L^\infty…
Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension
S. N. Armstrong, H. V. Tran, Y. Yu
We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising…
Lipschitz estimates in almost-periodic homogenization
Scott N. Armstrong, Zhongwei Shen
We establish uniform Lipschitz estimates for second-order elliptic systems in divergence form with rapidly oscillating, almost-periodic coefficients. We give interior estimates as…
Quantitative stochastic homogenization of convex integral functionals
Scott N. Armstrong, Charles K. Smart
We present quantitative results for the homogenization of uniformly convex integral functionals with random coefficients under independence assumptions. The main result is an error…
Local asymptotics for controlled martingales
Scott N. Armstrong, Ofer Zeitouni
We consider controlled martingales with bounded steps where the controller is allowed at each step to choose the distribution of the next step, and where the goal is to hit a fixed…