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math.AP2025
Green function and invariant measure estimates for nondivergence form elliptic homogenization
Scott Armstrong, Benjamin Fehrman, Jessica Lin
We prove quantitative estimates on the the parabolic Green function and the stationary invariant measure in the context of stochasic homogenization of elliptic equations in nondive…
math.AP2024
Anomalous diffusion by fractal homogenization
Scott Armstrong, Vlad Vicol
For every , we construct an explicit divergence-free vector field which is periodic in space and time and belongs to …
math.AP2024
Elliptic homogenization from qualitative to quantitative
Scott Armstrong, Tuomo Kuusi
We give a self-contained introduction to the theory of elliptic homogenization for random coefficient fields, starting from classical qualitative homogenization. The presentation a…