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SUMMARY:Marianna Russkikh (Massachusetts Institute of Technology)
DTSTART:20210616T160000Z
DTEND:20210616T170000Z
DTSTAMP:20260423T021604Z
UID:PSA/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PSA/10/">Loz
 enge tilings and the Gaussian free field on a cylinder</a>\nby Marianna Ru
 sskikh (Massachusetts Institute of Technology) as part of Probability and 
 Stochastic Analysis at Tecnico Lisboa\n\n\nAbstract\nWe discuss new result
 s on lozenge tilings on an infinite cylinder\, which may be analyzed using
  the periodic Schur process introduced by Borodin. Under one variant of th
 e $q^{vol}$ measure\, corresponding to random cylindric partitions\, the h
 eight function converges to a deterministic limit shape and fluctuations a
 round it are given by the Gaussian free field in the conformal structure p
 redicted by the Kenyon-Okounkov conjecture. Under another variant\, corres
 ponding to an unrestricted tiling model on the cylinder\, the fluctuations
  are given by the same Gaussian free field with an additional discrete Gau
 ssian shift component. Fluctuations of the latter type have been previousl
 y conjectured by Gorin for tiling models on planar domains with holes. Thi
 s talk is based on joint work with Andrew Ahn and Roger Van Peski.\n
LOCATION:https://researchseminars.org/talk/PSA/10/
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