Journée de l'équipe Analyse

Liste des Contributions

5. ouverture

26/06/2025 10:10

1. Sur des variétés asymptotiquement hyperboliques en dimension 4

Yuxin Ge

26/06/2025 10:15

Etant donnée une variété compacte de dimension 3 $(M^3 , [h])$, quand l’on pourrait remplir par une variété asymptotiquement hyperbolique de dimension 4 $(X^4 , g_+ )$ telle que $r^2 g_+ |_M = h$ sur le bord $M = \partial X$ pour certaine fonction définissante $r$ sur $X^4$ ? Ce problème est motivé par la correspondance AdS/CFT en gravité quantique proposé par Maldacena en 1998 et provient...

2. Entropies and Aviles-Giga model

Abdelmajid Moustajab

26/06/2025 11:15

Domain walls are transition layers connecting two limit states in physical models (e.g. ferromagnetic thin films, liquid-crystals...) We study them in a Ginzburg-Landau type model for curl-free vector fields, the so-called Aviles-Giga model, that depends on a small parameter $\varepsilon. $ As $\varepsilon \to 0, $ the limit configurations satisfy the eikonal equation. We develop a theory of...

3. Isoperimetric and geometric inequalities in quantitative form: Stein's method approach

Jordan Serres

26/06/2025 14:00

Stein’s method is a collection of tools designed to quantify the closeness between two probability measures. It was initially developed extensively to measure the distance to the Gaussian distribution and has since been generalized to measures with full support on $\mathbb{R}^d$. The application of this method to uniform distributions over different domains presents additional difficulties due...

4. On the stability of the Brascamp-Lieb inequality

Aldéric Joulin

26/06/2025 15:00

In this talk, we address the stability problem of the famous Brascamp-Lieb inequality for striclty log-concave probability measures on the Euclidean space. More precisely, if a given function almost satisfies the equality in the Brascamp-Lieb inequality, is it true that it is close in some sense to the underlying extremal functions ? Under some assumptions on the eigenvalues of the Hessian...