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…
Unveiling NPT bound problem: From Distillability Sets to Inequalities and Multivariable Insights
Si-Yuan Qi, Geni Gupur, Yu-Chun Wu +1
Equivalence between Positive Partial Transpose (PPT) entanglement and bound entanglement is a long-standing open problem in quantum information theory. So far limited progress has…