Spectral measure and approximation of homogenized coefficients

Antoine Gloria, Jean-Christophe Mourrat

Type: Article

Publication Date: 2011-06-01

Citations: 29

DOI: https://doi.org/10.1007/s00440-011-0370-7

View Publication

Download PDF

Locations

Probability Theory and Related Fields - View - PDF

Similar Works

Action	Title	Year	Authors
+	Spectral measure and approximation of homogenized coefficients	2010	Antoine Gloria Jean-Christophe Mourrat
+	Spectral measure and approximation of homogenized coefficients	2010	Antoine Gloria Jean-Christophe Mourrat
+ PDF Chat	The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization	2020	Marc Josien Félix Otto
+ PDF Chat	Quantitative version of the Kipnis–Varadhan theorem and Monte Carlo approximation of homogenized coefficients	2013	Antoine Gloria Jean-Christophe Mourrat
+ PDF Chat	Random walk in random environment, corrector equation and homogenized coefficients: from theory to numerics, back and forth	2014	A.- C. Egloffe Antoine Gloria Jean-Christophe Mourrat Thanh‐Nhan Nguyen
+ PDF Chat	An optimal error estimate in stochastic homogenization of discrete elliptic equations	2012	Antoine Gloria Félix Otto
+	Asymptotic expansion of the homogenized matrix in two weakly stochastic homogenization settings	2011	Ronan Costaouec
+	Asymptotic expansion of the homogenized matrix in two weakly stochastic homogenization settings	2011	Ronan Costaouec
+	Random walk in random environment, corrector equation, and homogenized coefficients: from theory to numerics, back and forth	2012	A.- C. Egloffe Antoine Gloria Jean-Christophe Mourrat Thanh‐Nhan Nguyen
+ PDF Chat	An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations	2013	Antoine Gloria Stefan Neukamm Félix Otto
+	Higher-order pathwise theory of fluctuations in stochastic homogenization	2019	Mitia Duerinckx Félix Otto
+	Higher-order pathwise theory of fluctuations in stochastic homogenization	2019	Mitia Duerinckx Félix Otto
+	Multiscale convergence properties for spectral approximations of a model kinetic equation	2017	Zheng Chen Cory D. Hauck
+	Multiscale convergence properties for spectral approximations of a model kinetic equation	2018	Zheng Chen Cory D. Hauck
+ PDF Chat	Asymptotic Expansion of the Homogenized Matrix in Two Weakly Stochastic Homogenization Settings	2011	Ronan Costaouec
+ PDF Chat	Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version	2013	Antoine Gloria Stefan Neukamm Félix Otto
+ PDF Chat	Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations	2017	Jonathan Ben-Artzi Daniel Marahrens Stefan Neukamm
+ PDF Chat	Optimal Quantitative Estimates in Stochastic Homogenization for Elliptic Equations in Nondivergence Form	2017	Scott N. Armstrong Jessica Lin
+ PDF Chat	On a variant of random homogenization theory: convergence of the residual process and approximation of the homogenized coefficients	2013	Frédéric Legoll Florian Thomines
+ PDF Chat	An Embedded Corrector Problem for Homogenization. Part I: Theory	2020	Éric Cancès Virginie Ehrlacher Frédéric Legoll Benjamin Stamm Shuyang Xiang

Works That Cite This (24)

Action	Title	Year	Authors
+	A regularity theory for random elliptic operators	2014	Antoine Gloria Stefan Neukamm Félix Otto
+ PDF Chat	Kantorovich distance in the martingale CLT and quantitative homogenization of parabolic equations with random coefficients	2013	Jean-Christophe Mourrat
+ PDF Chat	Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version	2013	Antoine Gloria Stefan Neukamm Félix Otto
+ PDF Chat	A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus	2015	Antoine Gloria James Nolen
+ PDF Chat	A Central Limit Theorem for the Effective Conductance: Linear Boundary Data and Small Ellipticity Contrasts	2014	Marek Biskup Michele Salvi Tilman Wolff
+ PDF Chat	Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields	2022	Nicolas Clozeau
+ PDF Chat	A quantitative central limit theorem for the random walk among random conductances	2012	Jean-Christophe Mourrat
+ PDF Chat	Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics	2014	Antoine Gloria Stefan Neukamm Félix Otto
+	Asymptotic decomposition of solutions to random parabolic operators with oscillating coefficients	2020	Marina Kleptsyna Andrey Piatnitski Alexandre Popier
+	The Corrector in Stochastic Homogenization: Near-Optimal Rates With Optimal Stochastic Integrability	2015	Antoine Gloria Félix Otto

Works Cited by This (14)

Action	Title	Year	Authors
+ PDF Chat	Quenched invariance principles for walks on clusters of percolation or among random conductances	2004	Vladas Sidoravičius Alain‐Sol Sznitman
+ PDF Chat	Quenched invariance principle for simple random walk on percolation clusters	2006	Noam Berger Marek Biskup
+	AVERAGING OF DIFFERENCE SCHEMES	1987	С. М. Козлов
+ PDF Chat	Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions	1986	C. Kipnis S. R. S. Varadhan
+ PDF Chat	Functional CLT for Random Walk Among Bounded Random Conductances	2007	Marek Biskup Timothy Prescott
+ PDF Chat	Quenched Invariance Principles for Random Walks with Random Conductances	2007	Pierre Mathieu
+	The diffusion limit for reversible jump processes onZ d with ergodic random bond conductivities	1983	Rolf Künnemann
+	An invariance principle for reversible Markov processes. Applications to random motions in random environments	1989	Anna De Masi Pablo A. Ferrari Sheldon Goldstein W. David Wick
+ PDF Chat	Quenched invariance principles for random walks on percolation clusters	2007	Pierre Mathieu Andrey Piatnitski
+ PDF Chat	An optimal error estimate in stochastic homogenization of discrete elliptic equations	2012	Antoine Gloria Félix Otto