4.6 Article

The Structure of Fluctuations in Stochastic Homogenization

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

Higher-order pathwise theory of fluctuations in stochastic homogenization

Mitia Duerinckx et al.

STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS (2020)

Article Mathematics, Interdisciplinary Applications

GREEN'S FUNCTION FOR ELLIPTIC SYSTEMS: MOMENT BOUNDS

Peter Bella et al.

NETWORKS AND HETEROGENEOUS MEDIA (2018)

Article Mathematics

Quantitative

N. Scott Armstrong et al.

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE (2017)

Article Mathematics

The additive structure of elliptic homogenization

Scott Armstrong et al.

INVENTIONES MATHEMATICAE (2017)

Article Statistics & Probability

NEW BERRY-ESSEEN BOUNDS FOR FUNCTIONALS OF BINOMIAL POINT PROCESSES

Raphael Lachieze-Rey et al.

ANNALS OF APPLIED PROBABILITY (2017)

Article Statistics & Probability

SCALING LIMIT OF THE CORRECTOR IN STOCHASTIC HOMOGENIZATION

Jean-Christophe Mourrat et al.

ANNALS OF APPLIED PROBABILITY (2017)

Article Statistics & Probability

On generalized Gaussian free fields and stochastic homogenization

Yu Gu et al.

ELECTRONIC JOURNAL OF PROBABILITY (2017)

Article Mathematics, Applied

Lipschitz Regularity for Elliptic Equations with Random Coefficients

Scott N. Armstrong et al.

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2016)

Article Mathematics, Applied

A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus

Antoine Gloria et al.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2016)

Article Statistics & Probability

CORRELATION STRUCTURE OF THE CORRECTOR IN STOCHASTIC HOMOGENIZATION

Jean-Christophe Mourrat et al.

ANNALS OF PROBABILITY (2016)

Article Statistics & Probability

NOISE-STABILITY AND CENTRAL LIMIT THEOREMS FOR EFFECTIVE RESISTANCE OF RANDOM ELECTRIC NETWORKS

Raphael Rossignol

ANNALS OF PROBABILITY (2016)

Article Physics, Mathematical

Mesoscopic Higher Regularity and Subadditivity in Elliptic Homogenization

Scott Armstrong et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2016)

Article Mathematics

Calderon-Zygmund estimates for stochastic homogenization

Scott Armstrong et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2016)

Article Mathematics, Interdisciplinary Applications

SCALING LIMIT OF FLUCTUATIONS IN STOCHASTIC HOMOGENIZATION

Yu Gu et al.

MULTISCALE MODELING & SIMULATION (2016)

Article Statistics & Probability

Annealed estimates on the Green function

Daniel Marahrens et al.

PROBABILITY THEORY AND RELATED FIELDS (2015)

Article Physics, Mathematical

A Central Limit Theorem for the Effective Conductance: Linear Boundary Data and Small Ellipticity Contrasts

M. Biskup et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2014)

Article Mathematics, Applied

AN OPTIMAL QUANTITATIVE TWO-SCALE EXPANSION IN STOCHASTIC HOMOGENIZATION OF DISCRETE ELLIPTIC EQUATIONS

Antoine Gloria et al.

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2014)

Article Statistics & Probability

Normal approximation for a random elliptic equation

James Nolen

PROBABILITY THEORY AND RELATED FIELDS (2014)

Article Mathematics, Applied

Fluctuation of Solutions to Linear Elliptic Equations with Noisy Diffusion Coefficients

Antoine Gloria

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2013)

Article Statistics & Probability

AN OPTIMAL ERROR ESTIMATE IN STOCHASTIC HOMOGENIZATION OF DISCRETE ELLIPTIC EQUATIONS

Antoine Gloria et al.

ANNALS OF APPLIED PROBABILITY (2012)

Article Mathematics

Random homogenization and convergence to integrals with respect to the Rosenblatt process

Yu Gu et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2012)

Article Statistics & Probability

AN OPTIMAL VARIANCE ESTIMATE IN STOCHASTIC HOMOGENIZATION OF DISCRETE ELLIPTIC EQUATIONS

Antoine Gloria et al.

ANNALS OF PROBABILITY (2011)

Article Statistics & Probability

Fluctuations of eigenvalues and second order Poincare inequalities

Sourav Chatterjee

PROBABILITY THEORY AND RELATED FIELDS (2009)

Article Statistics & Probability

A new method of normal approximation

Sourav Chatterjee

ANNALS OF PROBABILITY (2008)