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UID:20250712T140130EDT-7816ctH69E@132.216.98.100
DTSTAMP:20250712T180130Z
DESCRIPTION:Title: A simple approach to chaos for p-spin models of spin gla
 sses\n\n \n\nAbstract: Let G be an n by n matrix of i.i.d standard Gaussia
 ns\, and consider the maximizer  of the expression  among all sign vectors
  . How stable is  under small perturbations of ? In 2018\, Chen\, Handschy
  and Lerman showed that the corresponding Gaussian field exhibits Chaos in
  the sense that perturbations of  whose magnitude is going to with the dim
 ension amount to the corresponding maximizers  becoming almost uncorrelate
 d (following Chatterjee '08\, this also implies that the corresponding Gau
 ssian field exhibits 'super-concentration'). Their proof relies heavily on
  the Parisi-Guerra-Talagrand framework which stems from the cavity method.
  We give a proof that every mixed p-spin model exhibits such behavior. Our
  proof is (arguably) much simpler and mostly relies on classical results i
 n convexity.\n\n(Zoom only)\n\nhttps://mcgill.zoom.us/j/86314328515?pwd=Ym
 1zcERNaWRsclJhZlM4TmhGUko3dz09\n
DTSTART:20220127T163000Z
DTEND:20220127T173000Z
SUMMARY:Ronen Eldan (Weizmann)
URL:/mathstat/channels/event/ronen-eldan-weizmann-3370
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