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Key figures
Key figures
189 people work at LJLL
86 permanent staff
80 researchers and permanent lecturers
6 engineers, technicians and administrative staff
103 non-permanent staff
74 Phd students
15 post-doc and ATER
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January 2022
A voir
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.