4 citations · 4 across the 5 of their papers we have counts for
5 papers
Moment bounds on correctors for the degenerate random conductance model
Antoine Gloria, Siguang Qi
We study the random conductance model on the lattice , i.e. we consider a linear, finite-difference, divergence-form operator with random conductances . We allow the condu…
Periodic homogenization and harmonic measures
Guy David, Antoine Gloria, Svitlana Mayboroda +1
Since the seminal work of Kenig and Pipher, the Dahlberg-Kenig-Pipher (DKP) condition on oscillations of the coefficient matrix became a standard threshold in the study of absolute…
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…
Quantitative homogenization for log-normal coefficients via Malliavin calculus: the one-dimensional case
Antoine Gloria, Siguang Qi
The quantitative analysis of stochastic homogenization problems has been a very active field in the last fifteen years. Whereas the first results were motivated by applied question…
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
Antoine Gloria, Felix Otto
In the present contribution we establish quantitative results on the periodic approximation of the corrector equation for the stochastic homogenization of linear elliptic equations…