Nonlinear Waves Trimester - June Conference

Collection Nonlinear Waves Trimester - June Conference

Organizer(s) T. Duyckaerts, F. Merle, J. Szeftel

Date(s) 20/06/2016 - 24/06/2016

linked URL https://indico.math.cnrs.fr/event/892/overview

00:00:00 / 00:00:00

12 23

Derivation of invariant Gibbs measures for nonlinear Schroedinger equations from many body quantum states

By Benjamin Schlein

We prove that Gibbs measures of nonlinear Schroedinger equations of Hartree-type arise as high-temperature limits of appropriately modified thermal states in many-body quantum mechanics. In dimensions d=2,3 these Gibbs measures are supported on singular distributions and Wick ordering of the interaction is necessary. Our proof is based on a perturbative expansion in the interaction, organised in a diagrammatic representation, and on Borel resummation of the resulting series

Information about the video

Date of recording 22/06/2016
Date of publication 04/07/2016
Institution IHES
Format MP4

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