Averil Aussedat

collaborators

3 papers

math.AP2026

Compensated compactness of $A$ -free measures on cones with quantified aperture

Adolfo Arroyo-Rabasa, Averil Aussedat

We establish the stability of the De Philippis--Rindler rigidity on conical convex regions of quantified aperture. By constructing specialized $A$ -free quasiconvex functio…

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 $I^¼ \in P (R)$ consisting in superposing two copies of $I^¼$ , each slightly shifted by a small distance $\pm h$ . The differen…

math.MG2026

Locality of centred tangent cones in the Wasserstein space

Averil Aussedat

The geometric tangent cone to a probability measure $I^¼$ is a set of measure-valued applications that are almost geodesics. This is a nonlocal condition, typically lost when condit…

Compensated compactness of A-free measures on cones with quantified aperture

Characterization of measures on the real line that are critically unstable under small shifts

Locality of centred tangent cones in the Wasserstein space

Compensated compactness of $A$ -free measures on cones with quantified aperture