2 papers
math.AP2025
An inductive approach to stochastic estimates for the -equation with correlated coefficient field
Nicolas Clozeau
We develop an inductive approach to obtaining stochastic estimates for the -equation when the coefficient field is correlated with the driving noise. Our method is based o…
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…