BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:High-density hard-core configurations on a triangular lattice - Yu
 ri Suhov (Penn State and Statslab)
DTSTART:20180529T130000Z
DTEND:20180529T140000Z
UID:TALK104584@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:The high-density hard-core configuration model has attracted\n
 attention for quite a long time. The first rigorous\nresults about the pha
 se transition on a lattice with a\nnearest-neighbor exclusion where publis
 hed by\nDobrushin in 1968. In 1979\, Baxter calculated the free energy\nan
 d specified the critical point on a triangular lattice\nwith a nearest-nei
 ghbor exclusion\; in 1980 Andrews gave\na rigorous proof of Baxter's calcu
 lation with the help of Ramanujan's\nidentities. We analyze the hard-core 
 model on a triangular lattice\nand identify the extreme Gibbs measures (pu
 re phases) for high\ndensities. Depending\non arithmtic properties of the 
 hard-core diameter $D$\, the number of\npure phases equals either $D^2$ or
  $2D^2$. A classification\nof possible cases can be given in terms of Eise
 nstein primes.\n\nIf the time allows\, I will mention 3D analogs of some o
 f these\nresults.\n\nThis is a joint work with A Mazel and I Stuhl. No spe
 cial knowledge will\nbe assumed from the audience.\n\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
END:VEVENT
END:VCALENDAR