Universality in tiling models

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...

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Bibliographic Details
Main Author: Van Moerbeke, Pierre
Format: Article in Journal/Newspaper
Language:unknown
Published: CIRM 2019
Subjects:
60B20
60D05
Physique Mathématique
Probabilités & Statistiques
Arctic
Online Access:https://dx.doi.org/10.24350/cirm.v.19515403
https://library.cirm-math.fr/Record.htm?record=19286063124910042459
id ftdatacite:10.24350/cirm.v.19515403
record_format openpolar
spelling ftdatacite:10.24350/cirm.v.19515403 2023-05-15T14:56:59+02:00 Universality in tiling models Van Moerbeke, Pierre 2019 MP4 https://dx.doi.org/10.24350/cirm.v.19515403 https://library.cirm-math.fr/Record.htm?record=19286063124910042459 unknown CIRM http://library.cirm-math.fr/19515403.vtt https://www.chairejeanmorlet.com/2019-1-grava-bufetov-2104.html CC BY NC ND https://creativecommons.org/licenses/by-nc-nd/4.0 CC-BY-NC-ND 60B20 60D05 Physique Mathématique Probabilités & Statistiques Audiovisual video conference article MediaObject 2019 ftdatacite https://doi.org/10.24350/cirm.v.19515403 2021-11-05T12:55:41Z 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. Article in Journal/Newspaper Arctic DataCite Metadata Store (German National Library of Science and Technology) Arctic
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic 60B20
60D05
Physique Mathématique
Probabilités & Statistiques
spellingShingle 60B20
60D05
Physique Mathématique
Probabilités & Statistiques
Van Moerbeke, Pierre
Universality in tiling models
topic_facet 60B20
60D05
Physique Mathématique
Probabilités & Statistiques
description 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.
format Article in Journal/Newspaper
author Van Moerbeke, Pierre
author_facet Van Moerbeke, Pierre
author_sort Van Moerbeke, Pierre
title Universality in tiling models
title_short Universality in tiling models
title_full Universality in tiling models
title_fullStr Universality in tiling models
title_full_unstemmed Universality in tiling models
title_sort universality in tiling models
publisher CIRM
publishDate 2019
url https://dx.doi.org/10.24350/cirm.v.19515403
https://library.cirm-math.fr/Record.htm?record=19286063124910042459
geographic Arctic
geographic_facet Arctic
genre Arctic
genre_facet Arctic
op_relation http://library.cirm-math.fr/19515403.vtt
https://www.chairejeanmorlet.com/2019-1-grava-bufetov-2104.html
op_rights CC BY NC ND
https://creativecommons.org/licenses/by-nc-nd/4.0
op_rightsnorm CC-BY-NC-ND
op_doi https://doi.org/10.24350/cirm.v.19515403
_version_ 1766329053651927040

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