Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data

Collection Chaire Jean-Morlet : Equation intégrable aux données initiales aléatoires / Jean-Morlet Chair : Integrable Equation with Random Initial Data

Organizer(s) Basor, Estelle ; Bufetov, Alexander ; Cafasso, Mattia ; Grava, Tamara ; McLaughlin, Ken
Date(s) 08/04/2019 - 12/04/2019
linked URL https://www.chairejeanmorlet.com/2104.html
00:00:00 / 00:00:00
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Universality in tiling models

By Pierre Van Moerbeke

We consider the domino tilings of a large class of Aztec rectangles. For an appropriate scaling limit, we show that, the disordered region consists of roughly two arctic circles connected with a finite number of paths. The statistics of these paths is governed by a kernel, also found in other models (universality). The kernel thus obtained is believed to be a master kernel, from which the kernels, associated with critical points, can all be derived.

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Citation data

  • DOI 10.24350/CIRM.V.19515403
  • Cite this video Van Moerbeke, Pierre (09/04/2019). Universality in tiling models. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19515403
  • URL https://dx.doi.org/10.24350/CIRM.V.19515403

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