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SUMMARY:A short introduction to mean-field limits for many-particle and mu
 lti-agent systems - Pierre-Emmanuel Jabin (Pennsylvania State University)
DTSTART:20220117T163000Z
DTEND:20220117T173000Z
UID:TALK167600@talks.cam.ac.uk
DESCRIPTION:This short course will introduce and review some classical and
  more recent approaches to the mean field limit and propagation of chaos f
 or systems of many particles\, leading either to kinetic models such as Vl
 asov equations or to macroscopic equations.\nWe will first introduce some 
 of the main models and challenges\, around in particular the dynamics of p
 oint vortices\, so-called Coulomb gases and the dynamics of point masses o
 r point charges.\nThe second part of the course will briefly introduce thr
 ee recent novel approaches: The relative entropy on the Liouville equation
 \, the modulated energy on the empirical measure and new estimates on the 
 Vlasov hierarchy.
LOCATION:Seminar Room 1\, Newton Institute
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