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SUMMARY:Local geometry of the rough-smooth interface in the two-periodic A
 ztec diamond. - Sunil Chhita (Durham)
DTSTART:20200211T140000Z
DTEND:20200211T150000Z
UID:TALK138091@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:Random tilings of the two-periodic Aztec diamond contain three
 \n  macroscopic regions: frozen\, where the tilings are deterministic\; ro
 ugh\,\n  where the correlations between dominoes decay polynomially\; smoo
 th\,\n  where the correlations between dominoes decay exponentially. In a\
 n  previous paper\, we found that a certain averaging of the height functi
 on\n  at the rough smooth interface converged to the extended Airy kernel\
 n  point process. In this paper\, we augment the local geometrical picture
 \n  at this interface by introducing well-defined lattice paths which are\
 n  closely related to the level lines of the height function. We show afte
 r\n  suitable centering and rescaling that a point process from these path
 s\n  converge to the extended Airy kernel point process provided that the\
 n  natural parameter associated to the two-periodic Aztec\n  diamond is sm
 all enough. This is joint work with Kurt Johansson and\n  Vincent Beffara.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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