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Averaging of symmetric diffusion in random medium

https://doi.org/10.1007/bf00969174
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00968192openalex-snapshot
Averaging an elliptic boundary-value problem with random coefficients
inferredcites →https://doi.org/10.1016/b978-1-4831-9808-8.50016-2openalex-snapshot
INTRODUCTION TO THEORY
inferredcites →https://doi.org/10.1070/rm1979v034n04abeh003246openalex-snapshot
CONDUCTIVITY OF TWO-DIMENSIONAL RANDOM MEDIA
inferredcites →https://doi.org/10.1070/sm1980v037n02abeh001948openalex-snapshot
AVERAGING OF RANDOM OPERATORS
inferredcites →https://doi.org/10.1090/gsm/043openalex-snapshot
Introduction to the Theory of Random Processes
inferredcites →https://doi.org/10.1090/tpmsopenalex-snapshot
Theory of Probability and Mathematical Statistics
inferredcites →https://doi.org/10.2307/2343512openalex-snapshot
Mathematical Foundations of the Calculus of Probability.

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inferred← citeshttps://doi.org/10.1002/mma.11182openalex-snapshot
Qualitative Stochastic Homogenization of Elliptic Equations With Random Coefficients and Convolutional Potentials
inferred← citeshttps://doi.org/10.1007/978-3-030-01777-4_8openalex-snapshot
Introduction to Stochastic Homogenization
inferred← citeshttps://doi.org/10.1007/978-3-319-11259-6_9-1openalex-snapshot
Propagation of Stochasticity in Heterogeneous Media and Applications to Uncertainty Quantification
inferred← citeshttps://doi.org/10.1007/bf00972981openalex-snapshot
Asymptotic normality of the error of averaging elliptic boundary problems
inferred← citeshttps://doi.org/10.1007/bf01189397openalex-snapshot
Effective equations of two-phase flow in random media
inferred← citeshttps://doi.org/10.1007/bf03322539openalex-snapshot
Variance reduction in stochastic homogenization: proof of concept, using antithetic variables
inferred← citeshttps://doi.org/10.1007/s00032-020-00309-4openalex-snapshot
A Regularity Theory for Random Elliptic Operators
inferred← citeshttps://doi.org/10.1007/s00205-019-01409-1openalex-snapshot
On the Averaged Green’s Function of an Elliptic Equation with Random Coefficients
inferred← citeshttps://doi.org/10.1007/s00220-016-2663-2openalex-snapshot
Mesoscopic Higher Regularity and Subadditivity in Elliptic Homogenization
inferred← citeshttps://doi.org/10.1007/s00222-014-0518-zopenalex-snapshot
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics
inferred← citeshttps://doi.org/10.1007/s00222-016-0702-4openalex-snapshot
The additive structure of elliptic homogenization
inferred← citeshttps://doi.org/10.1007/s00440-013-0517-9openalex-snapshot
Normal approximation for a random elliptic equation
inferred← citeshttps://doi.org/10.1007/s00440-013-0529-5openalex-snapshot
Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients
inferred← citeshttps://doi.org/10.1007/s00440-015-0667-zopenalex-snapshot
Pointwise two-scale expansion for parabolic equations with random coefficients
inferred← citeshttps://doi.org/10.1007/s00440-016-0750-0openalex-snapshot
High order correctors and two-scale expansions in stochastic homogenization
inferred← citeshttps://doi.org/10.1007/s00440-026-01465-1openalex-snapshot
Periodic homogenisation for two dimensional generalised parabolic Anderson model
inferred← citeshttps://doi.org/10.1007/s00526-022-02191-xopenalex-snapshot
Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions
inferred← citeshttps://doi.org/10.1007/s40072-014-0040-8openalex-snapshot
Fluctuations of parabolic equations with large random potentials
inferred← citeshttps://doi.org/10.1007/s40072-015-0068-4openalex-snapshot
Normal approximation for the net flux through a random conductor
inferred← citeshttps://doi.org/10.1007/s40072-018-0127-8openalex-snapshot
Berry–Esseen theorem and quantitative homogenization for the random conductance model with degenerate conductances
inferred← citeshttps://doi.org/10.1007/s40072-019-00159-1openalex-snapshot
Uniform estimate of an iterative method for elliptic problems with rapidly oscillating coefficients
inferred← citeshttps://doi.org/10.1007/s41478-026-01153-2openalex-snapshot
Existence and uniqueness of correctors for nonlinear homogenization in uniformly local Sobolev spaces
inferred← citeshttps://doi.org/10.1016/j.anihpb.2003.07.003openalex-snapshot
Approximations of effective coefficients in stochastic homogenization
inferred← citeshttps://doi.org/10.1016/j.apnum.2014.06.008openalex-snapshot
Multiscale approach for stochastic elliptic equations in heterogeneous media
inferred← citeshttps://doi.org/10.1016/j.cam.2007.01.043openalex-snapshot
A finite dimensional approximation of the effective diffusivity for a symmetric random walk in a random environment
inferred← citeshttps://doi.org/10.1016/j.cma.2017.10.027openalex-snapshot
A random field-based method to estimate convergence of apparent properties in computational homogenization
inferred← citeshttps://doi.org/10.1016/j.jde.2012.05.007openalex-snapshot
Random homogenization and convergence to integrals with respect to the Rosenblatt process
inferred← citeshttps://doi.org/10.1016/j.jfa.2022.109594openalex-snapshot
The annealed Calderón-Zygmund estimate as convenient tool in quantitative stochastic homogenization
inferred← citeshttps://doi.org/10.1016/j.jmps.2021.104652openalex-snapshot
Representative volume elements for matrix-inclusion composites - a computational study on the effects of an improper treatment of particles intersecting the boundary and the benefits of periodizing the ensemble
inferred← citeshttps://doi.org/10.1016/j.na.2009.01.229openalex-snapshot
On the heterogeneous multiscale method with various macroscopic solvers
inferred← citeshttps://doi.org/10.1016/j.probengmech.2013.10.002openalex-snapshot
Estimation of residuals for the homogenized solution: The case of the beam with random Young's modulus
inferred← citeshttps://doi.org/10.1016/j.probengmech.2017.09.001openalex-snapshot
Estimation of residuals for the homogenized solution of quasi-periodic media
inferred← citeshttps://doi.org/10.1016/s0252-9602(12)60008-3openalex-snapshot
Homogenization, Symmetry, and Periodization in Diffusive Random Media
inferred← citeshttps://doi.org/10.1017/cbo9781139235952openalex-snapshot
Introduction to the Network Approximation Method for Materials Modeling
inferred← citeshttps://doi.org/10.1017/s0962492912000025openalex-snapshot
The heterogeneous multiscale method
inferred← citeshttps://doi.org/10.1023/a:1024089513139openalex-snapshot
Rate of Convergence in Homogenization of Parabolic PDEs
inferred← citeshttps://doi.org/10.1051/m2an/2011018openalex-snapshot
Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations
inferred← citeshttps://doi.org/10.1051/m2an/2013110openalex-snapshot
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
inferred← citeshttps://doi.org/10.1051/m2an/2013110/pdfopenalex-snapshot
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
inferred← citeshttps://doi.org/10.1051/m2an/2013111openalex-snapshot
On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients
inferred← citeshttps://doi.org/10.1051/proc/201237002openalex-snapshot
Numerical homogenization: survey, new results, and perspectives
inferred← citeshttps://doi.org/10.1051/proc/201448003openalex-snapshot
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
inferred← citeshttps://doi.org/10.1051/proc/201448008openalex-snapshot
A parameter identification problem in stochastic homogenization
inferred← citeshttps://doi.org/10.1051/ps:2007036openalex-snapshot
Tail estimates for homogenization theorems in random media
inferred← citeshttps://doi.org/10.1063/1.5089210openalex-snapshot
An informal introduction to quantitative stochastic homogenization
inferred← citeshttps://doi.org/10.1080/03605302.2012.715319openalex-snapshot
Fluctuation of Solutions to Linear Elliptic Equations with Noisy Diffusion Coefficients
inferred← citeshttps://doi.org/10.1080/03605302.2016.1179318openalex-snapshot
A higher-order large-scale regularity theory for random elliptic operators
inferred← citeshttps://doi.org/10.1080/03605302.2024.2374568openalex-snapshot
Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media
inferred← citeshttps://doi.org/10.1088/0951-7715/22/6/011openalex-snapshot
Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs
inferred← citeshttps://doi.org/10.1090/mcom/2014-83-286openalex-snapshot
inferred← citeshttps://doi.org/10.1090/s0002-9947-2013-05762-5openalex-snapshot
Strong convergence to the homogenized limit of elliptic equations with random coefficients
inferred← citeshttps://doi.org/10.1090/s0002-9947-2014-06005-4openalex-snapshot
Strong convergence to the homogenized limit of parabolic equations with random coefficients
inferred← citeshttps://doi.org/10.1090/s0025-5718-06-01909-0openalex-snapshot
Analysis of the heterogeneous multiscale method for parabolic homogenization problems
inferred← citeshttps://doi.org/10.1090/s0025-5718-2013-02758-5openalex-snapshot
Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems
inferred← citeshttps://doi.org/10.1090/s0894-0347-04-00469-2openalex-snapshot
Analysis of the heterogeneous multiscale method for elliptic homogenization problems
inferred← citeshttps://doi.org/10.1093/imanum/dru010openalex-snapshot
Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth
inferred← citeshttps://doi.org/10.1137/060654207openalex-snapshot
Analysis of the Multiscale Finite Element Method for Nonlinear and Random Homogenization Problems
inferred← citeshttps://doi.org/10.1137/080736077openalex-snapshot
Averaging of a Singular Random Source Term in a Diffusion Convection Equation
inferred← citeshttps://doi.org/10.1137/15m1010683openalex-snapshot
Scaling Limit of Fluctuations in Stochastic Homogenization
inferred← citeshttps://doi.org/10.1137/21m1454237openalex-snapshot
An Efficient MultiModes Monte Carlo Homogenization Method for Random Materials
inferred← citeshttps://doi.org/10.1137/23m1603819openalex-snapshot
Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field
inferred← citeshttps://doi.org/10.1142/s0218202512500029openalex-snapshot
COUPLING HETEROGENEOUS MULTISCALE FEM WITH RUNGE–KUTTA METHODS FOR PARABOLIC HOMOGENIZATION PROBLEMS: A FULLY DISCRETE SPACETIME ANALYSIS
inferred← citeshttps://doi.org/10.1214/10-aap745openalex-snapshot
An optimal error estimate in stochastic homogenization of discrete elliptic equations
inferred← citeshttps://doi.org/10.1214/10-aihp375openalex-snapshot
Variance decay for functionals of the environment viewed by the particle
inferred← citeshttps://doi.org/10.1214/10-aop571openalex-snapshot
An optimal variance estimate in stochastic homogenization of discrete elliptic equations
inferred← citeshttps://doi.org/10.1214/13-aop833openalex-snapshot
Regularity and stochastic homogenization of fully nonlinear equations without uniform ellipticity
inferred← citeshttps://doi.org/10.1214/14-aihp637openalex-snapshot
Weak convergence approach for parabolic equations with large, highly oscillatory, random potential
inferred← citeshttps://doi.org/10.1214/15-aop1045openalex-snapshot
Correlation structure of the corrector in stochastic homogenization
inferred← citeshttps://doi.org/10.1214/20-aihp1111openalex-snapshot
Quantitative homogenization of differential forms
inferred← citeshttps://doi.org/10.1214/20-aop1456openalex-snapshot
Quantitative homogenization of the parabolic and elliptic Green’s functions on percolation clusters
inferred← citeshttps://doi.org/10.1214/21-aap1748openalex-snapshot
An efficient algorithm for solving elliptic problems on percolation clusters
inferred← citeshttps://doi.org/10.1214/23-ejp1072openalex-snapshot
Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models
inferred← citeshttps://doi.org/10.1214/ecp.v20-3998openalex-snapshot
Diffusive decay of the environment viewed by the particle
inferred← citeshttps://doi.org/10.1214/ejp.v5-65openalex-snapshot
On Homogenization Of Elliptic Equations With Random Coefficients
inferred← citeshttps://doi.org/10.1215/ijm/1455203163openalex-snapshot
Long range correlation inequalities for massless Euclidean fields
inferred← citeshttps://doi.org/10.1216/rmj-2015-45-3-703openalex-snapshot
Expository Paper: A primer on homogenization of elliptic PDEs with stationary and ergodic random coefficient functions
inferred← citeshttps://doi.org/10.2140/apde.2021.14.2497openalex-snapshot
Quantitative estimates in stochastic homogenization for correlated coefficient fields
inferred← citeshttps://doi.org/10.2206/kyushujm.79.77openalex-snapshot
STOCHASTIC HOMOGENIZATION OF PARABOLIC EQUATIONS WITH LOWER-ORDER TERMS
inferred← citeshttps://doi.org/10.3233/asy-1999-370openalex-snapshot
Estimates in probability of the residual between the random and the homogenized solutions of one‐dimensional second‐order operator
inferred← citeshttps://doi.org/10.3233/asy-2008-0890openalex-snapshot
Random integrals and correctors in homogenization
inferred← citeshttps://doi.org/10.3233/asy-221797openalex-snapshot
Locality properties of standard homogenization commutator
inferred← citeshttps://doi.org/10.4208/cicp.2007.v2.p367openalex-snapshot
Heterogeneous Multiscale Methods: A Review
inferred← citeshttps://doi.org/10.4208/jcm.v22.n2.p210openalex-snapshot
Analysis of Multiscale Methods
inferred← citeshttps://doi.org/10.4310/cdm.2004.v2004.n1.a2openalex-snapshot
A Homogenization Method for non Variational Problems
inferred← citeshttps://doi.org/10.4310/cms.2015.v13.n3.a7openalex-snapshot
Limiting models for equations with large random potential: A review
inferred← citeshttps://doi.org/10.48550/arxiv.2007.12003openalex-snapshot
Weighted Meyers estimates in perforated domains
inferred← citeshttps://doi.org/10.48550/arxiv.2008.01506openalex-snapshot
Weighted heat kernel estimates: rate of convergence in Kolmogorov distance
inferred← citeshttps://doi.org/10.48550/arxiv.2012.04972openalex-snapshot
Corrector estimates for higher-order linearizations in stochastic homogenization of nonlinear uniformly elliptic equations
inferred← citeshttps://doi.org/10.48550/arxiv.2103.07627openalex-snapshot
Representative volume elements for matrix-inclusion composites -- a computational study on periodizing the ensemble
inferred← citeshttps://doi.org/10.5802/jedp.104openalex-snapshot
Uniform Lipschitz estimates in stochastic homogenization
inferred← citeshttps://doi.org/10.5802/slsedp.146openalex-snapshot
Quantitative hydrodynamic limits of the Langevin dynamics for gradient interface models
inferred← citeshttps://doi.org/10.70675/38874538zd0c6z4875za0a3z8a7c6f373057openalex-snapshot
Quantitative homogenization on the percolation cluster and particle systems
inferred← citeshttps://doi.org/10.70675/44d01138z44baz4877z8d6azf2dadcf4eaecopenalex-snapshot
Vitesse de convergence vers l'équilibre de systèmes de particules en intéraction
inferred← citeshttps://doi.org/10.70675/63c053f2z6ffbz4f1cz98c0z87bb2ba85160openalex-snapshot
Effective properties of random media : expansions in dilute regimes
inferred← citeshttps://doi.org/10.70675/cf1c5a04z03fdz49efza971z357ca58ba9f3openalex-snapshot
Numerical methods for homogenization : applications to random media
inferred← citeshttps://doi.org/10.70675/da3d2c94zd0bcz4873z9362z15d0c377fe68openalex-snapshot
Topics in the mathematics of disordered media
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