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SUMMARY:Delocalization of uniform graph homomorphisms from Z^2 to Z - Mart
 in Tassy (Dartmouth)
DTSTART:20180807T130000Z
DTEND:20180807T140000Z
UID:TALK108847@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Graph homomorphisms from the Zd lattice to Z are functions on 
 Zd whose gradients equal 1 in absolute value. These functions are the heig
 ht functions corresponding to proper 3-colorings of Zd and\, in two dimens
 ions\, corresponding to the 6-vertex model (square ice). We show that the 
 model delocalizes in two dimensions\, having no translation-invariant Gibb
 s measures for the uniform sampling subject to boundary conditions. We als
 o obtain additional results  in higher dimensions including the facts that
  every ergodic Gibbs measure is extremal and that the ergodic Gibbs measur
 es are stochastically ordered. The proof follows interesting but little kn
 own arguments presented by Scott Sheffield in Random surface which are ada
 pted and simplified to the present settings.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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