The class of Dunkl processes encompasses many well-known models in mathematical finance and mathematical physics, including Bessel processes, Dyson's Brownian motions, and Wishart processes. In this talk, we study a …

The first part of the talk will be devoted to an introduction to Flow Matching. In the remaining part, we will try to understand why recent generative methods -- namely diffusion and flow matching techniques -- …

Une construction dûe à Costantino et Lê utilise un invariant d'entrelacs pour associer des espaces vectoriels à certaines 3-variétés avec bord, appelés "espaces d'écheveaux (à états)". Le principal but de l'exposé …

How to go beyond the square distance d² in optimization algorithms and flows in metric spaces? Replacing it with a general cost function c(x,y) and using a majorize-minimize framework I will detail a generic class …

Dans l'étude de l'étude de la dynamique des polynômes complexes ou des fractions rationnelles complexes, le rôle des points critiques (où la dérivée s'annule) est prépondérant. Les fractions rationnelles dont …

We analyze the multipliers of a degenerating sequence in the moduli space of complex rational mpas. We show that either most periodic points have uniformly bounded multipliers, or most of them have exploding …

Eigenfunctions of the Laplacian cannot vanish on a set of positive measure. Quantitative versions of this unique continuation are well-known on fixed Riemannian manifolds : the L2 norm of an eigenfunction is bounded …