4 citations · 12 across the 21 of their papers we have counts for
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The Monge-Kantorovich tangent bundle to a measure
Adolfo Arroyo-Rabasa, Averil Aussedat, Guy Bouchitté
We study the tangent bundle to a Radon measure in Euclidean space, introduced by Bouchitté, Champion and Jimenez (2005). Its construction, inspired by Monge-Kantorovich o…
Divergence-free concentrations come from vanishing sequences
Adolfo Arroyo-Rabasa, Francesco Nobili, Ivan Yuri Violo
A vanishing sequence of divergence-free matrix fields is one that is bounded in and is carried by open sets of vanishing volume. Recently established, Bouchitté's…
Complex-ellipticity, dimensional estimates and plane wave rigidity in
Adolfo Arroyo-Rabasa
We characterize complex-elliptic operators through a hierarchy of overdeterminacy (-vanishing) quantifying the structural twisting of their symbols. This frame…
Quantified rigidity of -free Young measure concentrations
Adolfo Arroyo-Rabasa, Averil Aussedat
We establish quantitative stability of the De Philippis--Rindler rigidity on conical convex regions. By constructing -quasiconvex functions with a tailored concavity--…