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math.AP2025
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…
math.AP2024
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…
math.AP2024
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…