Pour tout renseignement complémentaire, veuillez contacter les
organisateurs,Hakim
Boumaza, Mathieu
Lewin
ou Stéphane
Nonnenmacher.
| 14h - 15h | Jinyeop Lee
(LMU, Munich) |
Derivation of
the Vlasov equation from the fermionic many-body Schrödinger system
using the Husimi measure Abstract: This seminar presents a derivation of the Vlasov equation from the fermionic many-body Schrödinger system, employing the Husimi measure as a liking tool. Our exploration begins with a heuristic understanding of the Vlasov equation's derivation. This is followed by a short review of the many-body Schrödinger equation. Then we will talk about the methodology of linking the solutions of the many-body Schrödinger equation with the Vlasov equation, namely the Wigner measure and the Husimi measure. Attendees will gain insights into the formalism of this approach and explore strategies for controlling residual terms appearing in the derivations. |
| 15h15 - 16h15 | Jacob
Schach Møller (Aarhus) |
Weighted
estimates for the Laplacian on the cubic metric lattice Abstract: We review how recent weighted resolvent estimates for the (discrete) Laplacian on Zd, together with a new embedding estimate, can be used to derive new weighted resolvent estimates for the Laplacian on the cubic metric lattice Ld = {x∈R d , for all but one j, x j ∈ Z}. In particular, some consequences for the spectrum of the (metric) Laplacian perturbed by suitable potentials will be discussed. The talk is based on joint work with E. Korotyaev and M. G. Rasmussen. |