3 papers
math.AP2026
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--…
math.OC2026
Characterization of measures on the real line that are critically unstable under small shifts
Averil Aussedat
We study the perturbation of a measure consisting in superposing two copies of , each slightly shifted by a small distance . The difference…
math.MG2025
Locality of centred tangent cones in the Wasserstein space
Averil Aussedat
The geometric tangent cone to a probability measure is a set of measure-valued applications that are almost geodesics. This is a nonlocal condition, typically lost when conditi…