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Research talks
We review some results on the joint mean-field and semiclassical limit of the fermionic N-body Schrödinger dynamics leading to the Vlasov equation, which is a model in kinetic theory for charged or gravitating particles. The results we present include the case of singular interactions and provide explicit estimates on the convergence rate, using the Hartree-Fock theory for interacting fermions as a bridge between many-body and Vlasov dynamics.
35Q83 ; 81V19 ; 82C40
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Research talks
We are interested in the statistical mechanics of systems of N points with Coulomb interactions in general dimension for a broad temperature range. We discuss local laws characterizing the rigidity of the system at the microscopic level, as well as free energy expansion and Central Limit Theorems for fluctuations.
82C22 ; 81V19 ; 60F05 ; 82D05
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ISBN 978-2-257-15022-6
Localisation : Disparu
chaos # grande unification # gravitation quantique # nouvelle astrophysique # nouvelle physique # optique quantique # physique des basses températures
81A99 ; 81Qxx ; 81V19 ; 83C45 ; 85-XX
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