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SUMMARY:Large N limit of the Langevin dynamics for the spin O(N) model
DTSTART:20260227T153000
DTEND:20260227T163000
DTSTAMP:20260501T163247Z
UID:6dbe58d692affa80e534f12eb4853e64e2781743cfb235c13a1ab7a8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Wenjie Ye\n\nAbstract: In this paper\, we prove that the
  large N limit of the Langevin dynamics for the spin O(N) model is given b
 y a mean-field stochastic differential equation (SDE) in both finite and i
 nfinite volumes. We establish uniform in N bounds for the dynamics\, which
  enable us to demonstrate convergence to the mean-field SDE with polynomia
 l interactions. Furthermore\, the mean-field SDE is shown to be globally w
 ell-posed for suitable initial distributions. We also prove the existence 
 of stationary measures for the mean-field SDE. For small inverse temperatu
 res\, we characterize the large N limit of the spin O(N) model through sta
 tionary coupling. Additionally\, we establish the uniqueness of the statio
 nary measure for the mean-field SDE. This research is a joint work with Ro
 ngchan Zhu.
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STATUS:CONFIRMED
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