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5 postes ATER en mathématiques à Sorbonne Université
date limite le 5 avril à 16h
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189 personnes travaillent au LJLL

90 permanents

82 chercheurs et enseignants-chercheurs permanents

8 ingénieurs, techniciens et personnels administratifs

99 personnels non permanents

73 doctorants

14 post-doc et ATER

12 émérites et collaborateurs bénévoles

 

Chiffres mars 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.