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UID:8656@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250513T143000
DTEND;TZID=Europe/Paris:20250513T153000
DTSTAMP:20250423T145059Z
URL:https://www.i2m.univ-amu.fr/evenements/on-uniform-in-time-propagation-
 of-chaos-in-the-metastable-curie-weiss-model/
SUMMARY:Pierre LE BRIS (IHES): On uniform in time propagation of chaos in t
 he metastable Curie-Weiss model
DESCRIPTION:Pierre LE BRIS: Some low temperature particle systems in mean-f
 ield interaction are ergodic\nwith respect to a unique invariant measure\,
 \nwhile their (non-linear) mean-field limit may possess several steady sta
 tes.\nIn particular\, in such cases\, propagation of chaos\n(i.e. the conv
 ergence of the particle system to its mean-field limit as n\,\nthe number 
 of particles\, goes to infinity) cannot hold uniformly in time\nsince the 
 long-time behaviors of the two processes are a priori incompatible.\nHowev
 er\, the particle system may be metastable\,\nand the time needed to exit 
 the basin of attraction\nof one of the steady states of its limit and go t
 o another\nis exponentially (in n) long.\nBefore this exit time\,\nthe par
 ticle system reaches a (quasi-)stationary distribution\,\nwhich we expect 
 to be a good approximation\nof the corresponding non-linear steady state.\
 nThe goal of this talk is to study a toy model\,\nthe Curie-Weiss model\, 
 and show uniform in time propagation of chaos\nof the particle system cond
 itioned to keeping a positive mean.\nBased on joint work with L. Journel (
 Université de Neuchâtel).\n
CATEGORIES:Séminaire,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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DTSTART:20250330T030000
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