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.
Recording during the meeting "Integrability and Randomness in Mathematical Physics and Geometry " the April 09, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Luca Recanzone
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Pierre Van Moerbeke: Universality in tiling models amulet meaning | |
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