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SUMMARY:Variational principle for lattice models with long-range interacti
 ons - Piet Lammers (Statslab)
DTSTART:20191112T140000Z
DTEND:20191112T150000Z
UID:TALK131470@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:The variational principle asserts that the shift-invariant Gib
 bs measures coincide exactly with the minimisers of the entropy density. A
  new characterisation of the entropy density leads to the variational prin
 ciple for the loop O(n) model\, and for the annealed version of the Ising 
 model in a random percolation environment. For the former\, this leads to 
 an existence proof of shift-invariant Gibbs measures\, for arbitrary param
 eters. For the latter\, uniqueness of the shift-invariant Gibbs measure is
  proven in the nonmagnetic phase. This is based on joint work with Martin 
 Tassy (arXiv:1907.05414).
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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