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math.AP2026
Regularity theorems for random elliptic operators on domains
Peter Bella, Julian Fischer, Marc Josien +1
Regularity theorems à la Avellaneda-Lin are an indispensable part of the modern quantitative theory of stochastic homogenization. While interior regularity results for random ellip…
math.AP2026
Boundary Layer Estimates in Stochastic Homogenization
Peter Bella, Julian Fischer, Marc Josien +1
We prove quantitative decay estimates for the boundary layer corrector in stochastic homogenization in the case of a half-space boundary. Our estimates are of optimal order and sho…