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SUMMARY:Marked GUE-corners process in dimer models
DTSTART:20260430T120000Z
DTEND:20260430T130000Z
DTSTAMP:20260501T102100Z
UID:indico-event-5815@agenda.irmp.ucl.ac.be
DESCRIPTION:Speakers: Nedialko Bradinoff (KTH)\n\nThe Aztec diamond dimer 
 model is a classical model in statistical mechanics. The Aztec diamond wit
 h uniform weights is one of the gems of integrable probability\; its speci
 al structure lead to a set of remarkable local and global results in the l
 imit as the size of the model tends to infinity. \nIn recent years new to
 ols were developed and made it possible to study the Aztec diamond with do
 ubly periodic weights and\, in great generality\, at the global and local 
 scales new limiting phenomena were proved.\nIn this talk I will discuss a 
 new local limit for the Aztec diamond with certain 2 x 2 periodic weights.
  We study an interlacing particle system near one of  the points where th
 e liquid disordered region touches the boundary. At this turning point und
 er an appropriate scaling we observe a marked GUE-corners process as the s
 ize of the model grows. This is a determinantal point process obtained fro
 m the celebrated GUE-corners process by assigning independent Bernoulli ma
 rks (with location-dependent parameters) to each particle in a configurati
 on. The proof relies on a double-contour integral representation over a ce
 rtain Riemann surface of the correlation Kernel of the studied process. Th
 e talk is based on joint work with Tomas Berggren. \n\nhttps://agenda.irm
 p.ucl.ac.be/event/5815/
LOCATION:B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cy
 clotron\, 2\, Louvain-la-Neuve))
URL:https://agenda.irmp.ucl.ac.be/event/5815/
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