186 citations · 1k across the 57 of their papers we have counts for
59 papers
The scaling limit of the continuous solid-on-solid model
Scott Armstrong, Wei Wu
We prove that the scaling limit of the continuous solid-on-solid model in is a multiple of the Gaussian free field.
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 su…
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…
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…
Asymptotic expansion of the spectrum for periodic Schrödinger operators
Scott Armstrong, Raghavendra Venkatraman
We prove an asymptotic expansion for the eigenvalues and eigenfunctions of Schrödinger-type operator with a confining potential and with principle part a periodic elliptic operator…
Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models
Scott Armstrong, Paul Dario
We study the Langevin dynamics corresponding to the (or Ginzburg-Landau) interface model with a uniformly convex interaction potential. We interpret these Langevin dynami…