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DTSTART:20250330T030000
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DTSTAMP:20260425T051631Z
UID:6752e2de871f1436824447@ist.ac.at
DTSTART:20241216T154500
DTEND:20241216T170000
DESCRIPTION:Speaker: Christian Brennecke\nhosted by Laszlo Erdös\, Jan Maa
 s\nAbstract: In this talk I will discuss basic predictions for the replica
  symmetric regime of the Sherrington-Kirkpatrick spin glass model. For the
  model without external field\, Talagrand conjectured that at high tempera
 ture the two point correlation matrix has operator norm that is bounded un
 iformly in the system size $N$. Based on suitable Schatten norm estimates\
 , he was able to show that the operator norm grows at most logarithmically
  in $N$. I will present a different strategy that is based on ideas relate
 d to the TAP approach and that enables an exact computation of the operato
 r norm as $N\\to\\infty$\, valid in the full high temperature regime. I wi
 ll conclude the talk with some related open questions for the SK model wit
 h non-zero external field. The talk is based on joint work with A. Schertz
 er\, C. Xu and H.-T. Yau. 
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Christian Brennecke: Operator Norm Bounds on the Correlation Matrix
  of the SK Model 
URL:https://talks-calendar.ista.ac.at/events/5454
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