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Bienvenue - Laboratoire Jacques-Louis Lions

Partenariats

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Internships (10th and 11th grades high school students)
Job shadowing (Year 10, Year 11 students) See https://www.math.univ-paris-diderot.fr/diffusion/index
5 ATER positions in Mathematics at Sorbonne University
deadline : 5 April at 4 p.m.
Details here

Key figures

Key figures

189 people work at LJLL

90 permanent staff

82 researchers and permanent lecturers

8 engineers, technicians and administrative staff

99 non-permanent staff

73 Phd students

14 Post-doc and ATER

12 emeritus scholars and external collaborators

 

Figures : March 2019

 

Giovanni Conforti

Monday 8 April 2019

Giovanni Conforti (École Polytechnique)

Long time behavior of the Mean Field Schrödinger problem and associated functional inequalities.

Abstract : In this talk, we shall introduce a generalisation of the Schrödinger problem. In words, we look at the problem of finding the most likely evolution of a cloud of interacting Brownian particles conditionally on having observed their initial and final configurations. In rigorous term, it as a mean field stochastic control problem. The goal of the talk is to show that the mean field stochastic control problem converges exponentially fast to its ergodic version as the time horizon becomes large, and to provide sharp estimates on the convergence rates. In doing this, we will obtain some new functional inequalities involving the (mean field) entropic cost.