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Wednesday, June 5, 2024 - 11:00 in V2-210/216


Gibbs measure for the non linear Schrödinger on the sphere

A talk in the Harmonic and Stochastic Analysis of Dispersive PDEs series by
Nicolas Burq from Université Paris-Saclay

Abstract: In this talk I will present recent results allowing to prove global existence for the non linear Schrödinger equations on the sphere for random initial data This result is a natural development on both Bourgains result on Gibbs measures on the two dimensional torus and our work (with P. Gérard and N. Tzvetkov) on the non linear Schrödinger on spheres. I will highlight the difficulties with respect to these previous works and give some ideas about the strategy of proof. This is joint work with N. Camps, C. Sun and N. Tzvetkov.



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