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SUMMARY:On the Replica Symmetric Regime of the SK Model  - Christian Brenn
 ecke (Bonn)
DTSTART:20230228T140000Z
DTEND:20230228T150000Z
UID:TALK197926@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:In this talk I will review basic predictions for the high temp
 erature regime\, the so called replica symmetric regime\, of the Sherringt
 on-Kirkpatrick spin glass model. I will recall the TAP equations\, their d
 erivation and their validity in connection with the decay of the two point
  correlation functions. For the simplified case of vanishing external fiel
 d\, I will present recent results that characterize the susceptibility of 
 the model as a resolvent of the interaction matrix\, which predicts in a s
 imple way the (well-known) RS-RSB transition temperature. The talk is base
 d on joint work with A. Adhikari\, A. Schertzer\, P. von Soosten\, C. Xu a
 nd H.-T. Yau. 
LOCATION:MR12\, Centre for Mathematical Sciences
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