54 citations · 182 across the 23 of their papers we have counts for
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An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
Antoine Gloria, Stefan Neukamm, Felix Otto
We establish an optimal, linear rate of convergence for the stochastic homogenization of discrete linear elliptic equations. We consider the model problem of independent and identi…
A regularity theory for random elliptic operators
Antoine Gloria, Stefan Neukamm, Felix Otto
Since the seminal results by Avellaneda \& Lin it is known that elliptic operators with periodic coefficients enjoy the same regularity theory as the Laplacian on large scales. In…
Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
Jonathan Ben-Artzi, Daniel Marahrens, Stefan Neukamm
We consider the corrector equation from the stochastic homogenization of uniformly elliptic finite-difference equations with random, possibly non-symmetric coefficients. Under the…
Moment bounds for the corrector in stochastic homogenization of a percolation model
Agnes Lamacz, Stefan Neukamm, Felix Otto
We study the corrector equation in stochastic homogenization for a simplified Bernoulli percolation model on , . The model is obtained from the classical $\{0,1\…