169 citations · 611 across the 39 of their papers we have counts for
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math.AP2014★ 98 cited
Quantitative results on the corrector equation in stochastic homogenization
Antoine Gloria, Felix Otto
We derive optimal estimates in stochastic homogenization of linear elliptic equations in divergence form in dimensions . In previous works we studied the model problem of a…
math.AP2014
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…
math.AP2014
Annealed estimates on the Green functions and uncertainty quantification
Antoine Gloria, Daniel Marahrens
We prove optimal annealed decay estimates on the derivative and mixed second derivative of the elliptic Green functions on for random stationary measurable coefficie…