Résultats de recherche

Conférence donnée dans le cadre du cycle "Un texte, une aventure mathématique".

Résumé : We  obtain   exact  formulae for three basic quantities in random conformal geometry that depend on the modulus of an annulus. The first is for the law of the  modulus of the Brownian a...

Résumé : We prove an abstract result giving a $ \langle t\rangle^{ℰ}$ upper bound on the growth of the Sobolev norms of a time-dependent Schrödinger equation of the form $i \dot \psi = H_0 \psi ...

Résumé : On a closed and connected symplectic manifold, the group of Hamiltonian diffeomorphisms has the structure of an infinite-dimensional Fréchet Lie group, where the Lie algebra is naturall...

Résumé : We study the long-time behavior of scale-invariant solutions of the 2d Euler equation satisfying a discrete symmetry. We show that all scale-invariant solutions with bounded variation o...

Résumé : We give a numerical condition for right-handedness of a dynamically convex Reeb flow on the $3$-sphere. Our condition is stated in terms of an asymptotic ratio between the amount of rot...

Résumé : In this paper, we are interested in the decomposition of the tensor product of two representations of a symmetrizable Kac-Moody Lie algebra $g$, or more precisely in the tensor cone of ...