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UID:8877@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251125T143000
DTEND;TZID=Europe/Paris:20251125T153000
DTSTAMP:20251007T150029Z
URL:https://www.i2m.univ-amu.fr/evenements/large-scale-concentration-and-r
 elaxation-for-mean-field-langevin-particle-systems/
SUMMARY:Songbo WANG (Univsersité de Nice): Large-scale concentration and r
 elaxation for mean-field Langevin particle systems
DESCRIPTION:Songbo WANG: We study the Langevin dynamics of diffusive partic
 les with regular pairwise interactions under mean-field scaling. \nBy appr
 oximating empirical distributions with conditional distributions\, we esta
 blish coercive and \ncontractive properties for the modulated free energy 
 functional. These properties yield near-optimal \nlarge-scale concentratio
 n and relaxation rates for the particle system throughout the subcritical 
 regime. \nFurthermore\, we derive generation of chaos estimates with the o
 ptimal order of particle approximation.\nAs a simpler instance\, we demons
 trate long-time convergence of the independent projection of Langevin dyna
 mics.
CATEGORIES:Séminaire,ALEA,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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