36 citations · 241 across the 42 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…
Mean-field dynamics for Ginzburg-Landau vortices with pinning and forcing
Mitia Duerinckx, Sylvia Serfaty
We consider the time-dependent 2D Ginzburg-Landau equation in the whole plane with terms modeling impurities and applied currents. The Ginzburg-Landau vortices are then subjected t…