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UID:20260306T084631EST-9928Gpeuc9@132.216.98.100
DTSTAMP:20260306T134631Z
DESCRIPTION:CRM Applied Mathematics Seminars\, Winter 2026\n\nTitle: Metast
 able clustering in weakly interacting particle systems\n\nAbstract: We con
 sider systems of N particles moving as Brownian motions and interacting vi
 a a bounded\, locally attractive potential. In the large particle number l
 imit\, the empirical measure of such a system is known to converge to a no
 nlocal parabolic PDE of McKean-Vlasov type. While the McKean-Vlasov PDE co
 rresponding to such systems is known to possess no non-trivial stationary 
 solutions\, numerical experiments demonstrate the existence of an almost-s
 ynchronized 'cluster' state that persists over a long time scale. In this 
 talk\, we quantitatively characterize this cluster state and the time scal
 e over which it persists using tools from spectral theory\, thereby provid
 ing a partial answer to a question posed by Carrillo\, Craig\, and Yao (20
 19) in the microscopic setting. Time permitting\, we will discuss the appl
 ication of similar techniques to metastable states appearing in other syst
 ems. This is joint work with Maximilian Engel and Rishabh Gvalani.\n
DTSTART:20260202T210000Z
DTEND:20260202T220000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY: Zachary Adams (Concordia University)
URL:/mathstat/channels/event/zachary-adams-concordia-u
 niversity-370722
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