Averil Aussedat

collaborators

4 papers

math.AP2026

The Monge-Kantorovich tangent bundle to a measure

Adolfo Arroyo-Rabasa, Averil Aussedat, Guy Bouchitté

We study the tangent bundle $T_{μ}$ to a Radon measure $μ$ in Euclidean space, introduced by Bouchitté, Champion and Jimenez (2005). Its construction, inspired by Monge-Kantorovich o…

math.AP2026

Quantified rigidity of $A$ -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 $A$ -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 $μ \in P (R)$ consisting in superposing two copies of $μ$ , each slightly shifted by a small distance $\pm h$ . The difference…

math.MG2025

Locality of centred tangent cones in the Wasserstein space

Averil Aussedat

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

The Monge-Kantorovich tangent bundle to a measure

Quantified rigidity of A-free Young measure concentrations

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

Locality of centred tangent cones in the Wasserstein space

Quantified rigidity of $A$ -free Young measure concentrations