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SUMMARY:The Gamma-Disordered Aztec Diamond
DTSTART:20260521T133000Z
DTEND:20260521T143000Z
DTSTAMP:20260524T181100Z
UID:indico-event-16560@indico.math.cnrs.fr
DESCRIPTION:Speakers: Maurice Duits\n\nThe Aztec diamond is a central exac
 tly solvable model in probability and combinatorics. Its striking geometri
 c features — most notably limit shapes and arctic boundaries — have ma
 de it a cornerstone of integrable probability. Over the past decade\, weig
 hted variants with doubly periodic edge weights have shown that much of th
 is integrable structure persists well beyond the uniform case. These exten
 sions have revealed new phenomena\, including regions of smooth disorder\,
  and are governed by a remarkable birational transformation that encodes t
 he algebraic structure of the model After a brief survey of these developm
 ents\, I will present recent joint work with Roger Van Peski on a new diso
 rdered version of the Aztec diamond\, obtained by assigning independent Ga
 mma-distributed weights to its edges. Despite the randomness in the weight
 s\, the model retains enough algebraic structure to remain integrable. Thi
 s allows us to rigorously identify new disorder-driven behavior\, includin
 g n^{2/3)-scale fluctuations near the turning points of the arctic boundar
 y. These turning points are closely related to certain integrable polymer 
 models.\n\nhttps://indico.math.cnrs.fr/event/16560/
LOCATION:435 (ENS de Lyon)
URL:https://indico.math.cnrs.fr/event/16560/
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