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CATEGORIES:Probability
SUMMARY:The interchange model and related spin systems on 
 two-block graphs - Jakob Bjornberg (Chalmers)
DTSTART;TZID=Europe/London:20220215T140000
DTEND;TZID=Europe/London:20220215T150000
UID:TALK169958AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/169958
DESCRIPTION:The interchange model is a model in quantum statis
 tical physics with close connections to random per
 mutations. In joint work with Hjalmar Rosengren an
 d Kieran Ryan we recently analysed such models in 
 a “two-block” setting. This includes complete bipa
 rtite graphs as a special case. Our method exploit
 s algebraic aspects of the model and allows us to 
 obtain explicit expressions for certain limiting q
 uantities. In the “probabilistic regime” (which in
 cludes the Heisenberg ferromagnet) our results may
  be interpreted in terms of the appearance of macr
 oscopic permutation cycles. In other regimes we ob
 tain an intriguing phase diagram.\nBased on: https
 ://arxiv.org/abs/2201.10209\n
LOCATION:MR12
CONTACT:Perla Sousi
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