A Regularity Theory for Random Elliptic Operators

A Liouville theorem for elliptic systems with degenerate ergodic coefficients

(2018) Peter Bella et al.   ANNALS OF APPLIED PROBABILITY

Quantitative results on the corrector equation in stochastic homogenization

(2017) Antoine Gloria et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Quenched invariance principles for the random conductance model on a random graph with degenerate ergodic weights

(2017) Jean-Dominique Deuschel et al.   PROBABILITY THEORY AND RELATED FIELDS

Stochastic Homogenization of Linear Elliptic Equations: Higher-Order Error Estimates in Weak Norms Via Second-Order Correctors

(2017) Peter Bella et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Liouville Principles and a Large-Scale Regularity Theory for Random Elliptic Operators on the Half-Space

(2017) Julian Fischer et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Annealed estimates on the Green functions and uncertainty quantification

(2016) Antoine Gloria et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Quantitative

(2016) N. Scott Armstrong et al.   ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE

Mesoscopic Higher Regularity and Subadditivity in Elliptic Homogenization

(2016) Scott Armstrong et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

A higher-order large-scale regularity theory for random elliptic operators

(2016) Julian Fischer et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Heat kernel estimates for random walks with degenerate weights

(2016) Sebastian Andres et al.   ELECTRONIC JOURNAL OF PROBABILITY

The additive structure of elliptic homogenization

(2016) Scott Armstrong et al.   INVENTIONES MATHEMATICAE

Calderón–Zygmund estimates for stochastic homogenization

(2016) Scott Armstrong et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Scaling Limit of Fluctuations in Stochastic Homogenization

(2016) Yu Gu et al.   MULTISCALE MODELING & SIMULATION

Corrector Estimates for Elliptic Systems with Random Periodic Coefficients

(2016) Peter Bella et al.   MULTISCALE MODELING & SIMULATION

Disorder, entropy and harmonic functions

(2015) Itai Benjamini et al.   ANNALS OF PROBABILITY

Lipschitz Regularity for Elliptic Equations with Random Coefficients

(2015) Scott N. Armstrong et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Reduction in the Resonance Error in Numerical Homogenization II: Correctors and Extrapolation

(2015) Antoine Gloria et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics

(2014) A. Gloria et al.   INVENTIONES MATHEMATICAE

Annealed estimates on the Green function

(2014) Daniel Marahrens et al.   PROBABILITY THEORY AND RELATED FIELDS

An optimal variance estimate in stochastic homogenization of discrete elliptic equations

(2011) Antoine Gloria et al.   ANNALS OF PROBABILITY