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SUMMARY:Plenary Talk: Single versus double interlacing in random tiling mo
 dels - Pierre van Moerbeke (Université Catholique de Louvain)
DTSTART:20221018T080000Z
DTEND:20221018T090000Z
UID:TALK182495@talks.cam.ac.uk
DESCRIPTION:Single interlacing of particles along an array of parallel lin
 es occurs in random tiling models (with lozenges or dominos) near the poin
 t of tangency of the arctic curve (between the liquid and the solid region
 s) with the boundary of the domain. In contrast\, double interlacing appea
 rs when introducing non-convexities in very large size domains of lozenge 
 or domino tilings\; this situation may lead to several liquid regions far 
 apart from each other or merely touching. The tiling fluctuations near the
  point of touching are given by a new universal determinantal process\, go
 verned by the so-called "discrete tacnode kernel". This represents a body 
 of work with Mark Adler\, Sunil Chhita and Kurt Johansson.\nThis represent
 s a body of work with Mark Adler\, Sunil Chhita and Kurt Johansson.
LOCATION:Seminar Room 1\, Newton Institute
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