SA
Scott Armstrong
math.APmath.PRmath.MPmath-phcs.NAmath.NAmath.OCmath.OAmath.RAphysics.flu-dyn
On Valency
published · living versionsW_2zu7xer6·v1 · currentpublished
Fluctuation bounds for rotationally invariant first-passage percolation
with Ahmed Bou-Rabee
1 version
Preprints & journals
69 papers in the corpus · 2005–2026Coarse ellipticity and De Giorgi-Nash-Moser theory in the optimal range2610.11879v1 · Scott Armstrong, Benny Avelin, Tuomo Kuusi et al.2026 · 0 citationsarXiv
Anomalous scaling limit of a Brownian particle in a log-correlated potential2610.12335v1 · Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi2026 · 0 citationsarXiv
Homogenization at a polynomial scale in high contrast2609.27647v1 · Scott Armstrong, Tuomo Kuusi, Am'elie Loher2026 · 0 citationsarXiv
Formalization of De Giorgi--Nash--Moser Theory in Lean2604.05984v1 · Scott Armstrong, Julia Kempe2026 · 0 citationsarXiv
Superdiffusion and anomalous regularization in self-similar random incompressible flows2601.22142v2 · Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi2026 · 0 citationsarXiv
Coarse-grained ellipticity and De Giorgi-Nash-Moser theory2601.05690v1 · Scott Armstrong, Benny Avelin, Cristiana De Filippis et al.2026 · 0 citationsarXiv
A coarse-graining theory for elliptic operators and homogenization in high contrast2509.24887v1 · Scott Armstrong, Tuomo Kuusi2025 · 0 citationsarXiv
Renormalization group and elliptic homogenization in high contrast2405.10732v3 · Scott Armstrong, Tuomo Kuusi2024 · 2 citationsarXiv
Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift2404.01115v3 · Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi2024 · 0 citationsarXiv
Optimal convergence rates for the spectrum of the graph Laplacian on Poisson point clouds2312.08149v1 · Scott Armstrong, Raghavendra Venkatraman2023 · 2 citationsarXiv
The scaling limit of the continuous solid-on-solid model2310.13630v2 · Scott Armstrong, Wei Wu2023 · 0 citationsarXiv
Quantitative homogenization and large-scale regularity of Poisson point clouds2309.12900v2 · Scott Armstrong, Raghavendra Venkatraman2023 · 0 citationsarXiv
Anomalous diffusion by fractal homogenization2305.05048v3 · Scott Armstrong, Vlad Vicol2023 · 20 citationsarXiv
Green function and invariant measure estimates for nondivergence form elliptic homogenization2211.13279v2 · Scott Armstrong, Benjamin Fehrman, Jessica Lin2022 · 0 citationsarXiv
Elliptic homogenization from qualitative to quantitative2210.06488v2 · Scott Armstrong, Tuomo Kuusi2022 · 2 citationsarXiv
Asymptotic expansion of the spectrum for periodic Schrödinger operators2209.12220v2 · Scott Armstrong, Raghavendra Venkatraman2022 · 1 citationarXiv
Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models2203.14926v3 · Scott Armstrong, Paul Dario2022 · 5 citationsarXiv
Optimal unique continuation for periodic elliptic equations on large scales2107.14248v1 · Scott Armstrong, Tuomo Kuusi, Charles Smart2021 · 1 citationarXiv
Large-scale analyticity and unique continuation for periodic elliptic equations2005.01199v1 · Scott Armstrong, Tuomo Kuusi, Charles Smart2020 · 13 citationsarXiv
Higher-Order Linearization and Regularity in Nonlinear Homogenization.32421078 · Armstrong, Scott, Ferguson, Samuel J, Kuusi, Tuomo2020 · 14 citationsArchive for rational mechanics and analysis. 2020;237(2):631-741
Thermal approximation of the equilibrium measure and obstacle problem1912.13018v5 · Scott Armstrong, Sylvia Serfaty2019 · 13 citationsarXiv
regularity of the surface tension for the interface model1909.13325v1 · Scott Armstrong, Wei Wu2019 · 3 citationsarXiv
Local laws and rigidity for Coulomb gases at any temperature1906.09848v3 · Scott Armstrong, Sylvia Serfaty2019 · 32 citationsarXiv
Variational methods for the kinetic Fokker-Planck equation1902.04037v2 · D. Albritton, S. Armstrong, J.-C. Mourrat et al.2019 · 53 citationsAnalysis & PDE 17 (2024) 1953-2010
Homogenization, linearization and large-scale regularity for nonlinear elliptic equations1805.00467v2 · Scott Armstrong, Sam Ferguson, Tuomo Kuusi2018 · 13 citationsarXiv
An iterative method for elliptic problems with rapidly oscillating coefficients1803.03551v4 · S. Armstrong, A. Hannukainen, T. Kuusi et al.2018 · 9 citationsarXiv
Quantitative stochastic homogenization and regularity theory of parabolic equations1705.07672v3 · Scott Armstrong, Alexandre Bordas, Jean-Christophe Mourrat2017 · 41 citationsAnalysis & PDE 11 (2018) 1945-2014
Quantitative stochastic homogenization and large-scale regularity1705.05300v2 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat2017 · 181 citationsGrundlehren der mathematischen Wissenschaften, Vol. 352 (2019)
Elliptic regularity and quantitative homogenization on percolation clusters1609.09431v2 · Scott Armstrong, Paul Dario2016 · 55 citationsarXiv
Quantitative analysis of boundary layers in periodic homogenization1607.06716v2 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat et al.2016 · 26 citationsarXiv
Scaling limits of energies and correctors1603.03388v2 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat2016 · 2 citationsarXiv
Optimal quantitative estimates in stochastic homogenization for elliptic equations in nondivergence form1602.03813v2 · Scott Armstrong, Jessica Lin2016 · 19 citationsarXiv
The additive structure of elliptic homogenization1602.00512v3 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat2016 · 97 citationsarXiv
Bounded correctors in almost periodic homogenization1509.08390v2 · Scott Armstrong, Antoine Gloria, Tuomo Kuusi2015 · 22 citationsarXiv
Mesoscopic higher regularity and subadditivity in elliptic homogenization1507.06935v3 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat2015 · 63 citationsarXiv
Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions1504.02045v2 · Scott Armstrong, Pierre Cardaliaguet2015 · 59 citationsarXiv
Lipschitz regularity for elliptic equations with random coefficients1411.3668v3 · Scott N. Armstrong, Jean-Christophe Mourrat2014 · 101 citationsarXiv
Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension1410.7053v1 · S. N. Armstrong, H. V. Tran, Y. Yu2014 · 35 citationsarXiv
Lipschitz estimates in almost-periodic homogenization1409.2094v2 · Scott N. Armstrong, Zhongwei Shen2014 · 72 citationsarXiv
Quantitative stochastic homogenization of convex integral functionals1406.0996v3 · Scott N. Armstrong, Charles K. Smart2014 · 22 citationsarXiv
Local asymptotics for controlled martingales1402.2402v2 · Scott N. Armstrong, Ofer Zeitouni2014 · 3 citationsAnnals of Applied Probability 2016, Vol. 26, No. 3, 1467-1494
Quantitative stochastic homogenization of viscous Hamilton-Jacobi equations1312.7593v1 · Scott N. Armstrong, Pierre Cardaliaguet2013 · 22 citationsarXiv
Stochastic homogenization of a nonconvex Hamilton-Jacobi equation1311.2029v1 · Scott N. Armstrong, Hung V. Tran, Yifeng Yu2013 · 45 citationsarXiv
Viscosity solutions of general viscous Hamilton-Jacobi equations1310.4566v2 · Scott N. Armstrong, Hung V. Tran2013 · 47 citationsarXiv
Stochastic homogenization of viscous Hamilton-Jacobi equations and applications1310.1749v1 · Scott N. Armstrong, Hung V. Tran2013 · 37 citationsAnal. PDE 7 (2014) 1969-2007
Quantitative stochastic homogenization of elliptic equations in nondivergence form1306.5340v5 · Scott N. Armstrong, Charles K. Smart2013 · 42 citationsArch. Ration. Mech. Anal., 214 (2014), 867-911
Remarks on a constrained optimization problem for the Ginibre ensemble1304.1964v1 · Scott N. Armstrong, Sylvia Serfaty, Ofer Zeitouni2013 · 21 citationsarXiv
Stochastic homogenization of fully nonlinear uniformly elliptic equations revisited1209.4741v1 · Scott N. Armstrong, Charles K. Smart2012 · 6 citationsarXiv
Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity1208.4570v4 · Scott N. Armstrong, Charles K. Smart2012 · 25 citationsAnnals of Probability 2014, Vol. 42, No. 6, 2558-2594
Error estimates and convergence rates for the stochastic homogenization of Hamilton-Jacobi equations1206.2601v4 · Scott N. Armstrong, Pierre Cardaliaguet, Panagiotis E. Souganidis2012 · 53 citationsarXiv
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