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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Large-scale concentration and relaxation for mean-field Langevin particle systems

Songbo WANG
Univsersité de Nice

Date(s) : 25/11/2025   iCal
14h30 - 15h30

We study the Langevin dynamics of diffusive particles with regular pairwise interactions under mean-field scaling. 
By approximating empirical distributions with conditional distributions, we establish coercive and 
contractive properties for the modulated free energy functional. These properties yield near-optimal 
large-scale concentration and relaxation rates for the particle system throughout the subcritical regime. 
Furthermore, we derive generation of chaos estimates with the optimal order of particle approximation.
As a simpler instance, we demonstrate long-time convergence of the independent projection of Langevin dynamics.

Emplacement
I2M Saint-Charles - Salle de séminaire

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