211 citations · 317 across the 7 of their papers we have counts for
7 papers
Quantitative homogenization for log-normal coefficients
Nicolas Clozeau, Antoine Gloria, Siguang Qi
We establish quantitative homogenization results for the popular log-normal coefficients. Since the coefficients are neither bounded nor uniformly elliptic, standard proofs do not…
The landscape function on
Guy David, Antoine Gloria, Svitlana Mayboroda
Consider the Schrödinger operator with non-negative iid random potential of strength . We prove existence and uniqueness of the associated landscape functi…
A short proof of Gevrey regularity for homogenized coefficients of the Poisson point process
Mitia Duerinckx, Antoine Gloria
In this short note we capitalize on and complete our previous results on the regularity of the homogenized coefficients for Bernoulli perturbations by addressing the case of the Po…
Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity
Gilles Francfort, Antoine Gloria
Since the seminal contribution of Geymonat, M{ü}ller, and Triantafyllidis, it is known that strong ellipticity is not necessarily conserved by homogenization in linear elasticity.…
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…
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…