Résultats de recherche

Résumé Nuclei, the self-bound building blocks of the universe, are held together by forces that remain a central challenge in nuclear physics. Fermionic neural quantum states (NQS) enable first-principles studies of these interactions. I will highlight …

Abstract In this talk, we focus on an infinite-dimensional model of repulsively interacting Brownian motions: Dyson Brownian motion (DBM) at soft-edge scaling. It is known that its stationary process is the Airy line ensemble, a collection of …

Résumé Tout au long de cet exposé, il sera question d'effet tunnel dans le cadre de l'équation de Schrödinger avec champ magnétique. Nous évoquerons d'abord les travaux d'Helffer et Sjöstrand des années quatre-vingts dans le cas des potentiels …

Abstract The spectral gap (or bass note) of a closed hyperbolic surface is the smallest non-zero eigenvalue of its Laplacian. This invariant plays an important role in many parts of hyperbolic geometry. The talk will start with a brief introduction to the …

Intervenants : Ludivine Bantigny, Malika Rahal, Guillaume Cuchet, Marion Fontaine, Guillaume Mazeau et Delphine Diaz. Cette demi-journée de discussions et de réflexions vise à questionner l’opposition, devenue lieu commun, entre deux formes d’histoire. La …

Abstract In the 1990s, Voiculescu developed the theory of non-commutative entropy. For a single non-commutative variable, this entropy reduces to the rate function of the empirical measure of the eigenvalues of a Gaussian matrix. For several …

Abstract It is well-known that the Betti numbers of nonpositively-curved manifolds are (under normalisation of curvature and  some additional assumptions) linearly bounded by their volume. In a joint work with M. Frączyk and S. Hurtado we showed that for …

Abstract In the past few years the notion of “strong convergence” of multi-matrix models has found applications across pure mathematics including to random graphs, operator algebras (in several ways), spectral theory of hyperbolic manifolds, and the …