169 citations · 611 across the 39 of their papers we have counts for
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A quantitative central limit theorem for the effective conductance on the discrete torus
Antoine Gloria, James Nolen
We study a random conductance problem on a -dimensional discrete torus of size . The conductances are independent, identically distributed random variables uniformly boun…
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…
When are increment-stationary random point sets stationary?
Antoine Gloria
In a recent work, Blanc, Le Bris, and Lions defined a notion of increment-stationarity for random point sets, which allowed them to prove the existence of a thermodynamic limit for…
Reduction of the resonance error in numerical homogenisation II: correctors and extrapolation
Antoine Gloria, Zakaria Habibi
This paper is the companion article of [Gloria, M3AS, 21 (2011), No. 3, pp 1601-1630]. One common drawback among numerical homogenization methods is the presence of the so-called r…
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…
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…