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UID:20251225T031738EST-7947owV2km@132.216.98.100
DTSTAMP:20251225T081738Z
DESCRIPTION:Probability Seminar\n\nTitle: Replica Symmetry Breaking\, Shatt
 ering\, and Metastability\n\nAbstract: The statics and dynamics of mean-fi
 eld models of spin glasses have been studied in-depth by the physics commu
 nity since the '70s. At the heart of this is the trade-off between the not
 ions of replica symmetry breaking\, shattering\, and metastability. I will
  survey the current mathematical understanding of these ideas in the “simp
 le” case of the spherical p-spin model. I will start by recalling how the 
 landscape complexity can be used to understand of the “replica symmetry br
 eaking” phase following the work of Auffinger–Ben Arous–Cerny and Subag. I
 'll then turn to our recent joint work with Ben Arous on the “replica symm
 etric” phase. Here we prove the existence of a shattering phase and show t
 hat metastable states exist up to an even higher temperature as predicted 
 by Barrat–Burioni–Mezard. This latter work is based on a Thouless–Anderson
 –Palmer decomposition which builds on the ideas of Subag. I will end by pr
 esenting a series of open questions and conjectures surrounding sharp phas
 e boundaries for shattering and metastability. \n\n \n\nOnline seminar via
  zoom\, for more information please write to Seminar [at] problab.ca\n\n 
 \n\n \n\n \n\n \n\n \n
DTSTART:20211027T150000Z
DTEND:20211027T160000Z
SUMMARY:Aukosh Jagannath (Waterloo)
URL:/mathstat/channels/event/aukosh-jagannath-waterloo
 -334363
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