36 citations · 241 across the 42 of their papers we have counts for
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math.PR2017★ 2 cited
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…
math.PR2017
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…
math.PR2017★ 1 cited
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…