169 citations · 611 across the 39 of their papers we have counts for
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Multiscale second-order Poincaré inequalities in probability
Mitia Duerinckx, Antoine Gloria
Consider an ergodic stationary random field on the ambient space . In a companion article, we introduced the notion of multiscale (first-order) functional inequali…
Multiscale functional inequalities in probability: Constructive approach
Mitia Duerinckx, Antoine Gloria
Consider an ergodic stationary random field on the ambient space . In order to establish concentration properties for nonlinear functions , it is standard to…
Multiscale functional inequalities in probability: Concentration properties
Mitia Duerinckx, Antoine Gloria
In a companion article we have introduced a notion of multiscale functional inequalities for functions of an ergodic stationary random field on the ambient space $\mathb…
Long-time homogenization and asymptotic ballistic transport of classical waves
Antoine Benoit, Antoine Gloria
Consider an elliptic operator in divergence form with symmetric coefficients.If the diffusion coefficients are periodic, the Bloch theorem allows one to diagonalize the elliptic op…