BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Height function delocalisation on cubic planar graphs - Piet Lamme
 rs (IHES)
DTSTART:20220906T103000Z
DTEND:20220906T113000Z
UID:TALK178472@talks.cam.ac.uk
CONTACT:Jason Miller
DESCRIPTION:Delocalisation plays an important role in statistical physics.
  This talk will discuss the delocalisation transition in the context of he
 ight functions\, which are integer-valued functions on the square lattice 
 or similar two-dimensional graphs. By drawing a link with a phase coexiste
 nce result for site percolation on planar graphs\, we prove delocalisation
  for a broad class of height functions on planar graphs of degree three. T
 he proof also uses a new technique for symmetry breaking. The analysis inc
 ludes several popular models such as the discrete Gaussian model\, the sol
 id-on-solid model\, and the uniformly random K-Lipschitz function. Inclusi
 on of the first model also implies the BKT phase transition in the XY and 
 Villain models on the triangular lattice.
LOCATION:MR9\, Centre for Mathematical Sciences
END:VEVENT
END:VCALENDAR