Quantitative stochastic homogenization and regularity theory of parabolic equations

A Liouville theorem for stationary and ergodic ensembles of parabolic systems

(2018) Peter Bella et al.   PROBABILITY THEORY AND RELATED FIELDS

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

The additive structure of elliptic homogenization

(2016) Scott Armstrong et al.   INVENTIONES MATHEMATICAE

Lipschitz Regularity for Elliptic Equations with Random Coefficients

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

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

(2014) A. Gloria et al.   INVENTIONES MATHEMATICAE

An optimal error estimate in stochastic homogenization of discrete elliptic equations

(2012) Antoine Gloria et al.   ANNALS OF APPLIED PROBABILITY

An optimal variance estimate in stochastic homogenization of discrete elliptic equations

(2011) Antoine Gloria et al.   ANNALS OF PROBABILITY

Global gradient estimates for degenerate parabolic equations in nonsmooth domains

(2008) Mikko Parviainen   ANNALI DI MATEMATICA PURA ED APPLICATA