Articles publiés
Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space
Dmitry Chelkak1, 2, 3 ; Sanjay Ramassamy4
1 Département de mathématiques et applications de l’ENS, Ecole normale supérieure PSL Research University, CNRS UMR 8553, Paris, France.
2 On leave from St. Petersburg, Department of Steklov Mathematical Institute RAS, Russia.
3 Current address: Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, USA.
4 Université Paris-Saclay, CNRS, CEA, Institut de physique théorique, 91191 Gif-sur-Yvette, France. (Corresponding author)
Confluentes Mathematici, Tome 16 (2024), pp. 1-17.

We provide a new description of the scaling limit of dimer fluctuations in homogeneous Aztec diamonds via the intrinsic conformal structure of a space-like maximal surface in the three-dimensional Minkowski space ℝ 2,1 . This surface naturally appears as the limit of the graphs of origami maps associated to symmetric t-embeddings of Aztec diamonds, fitting the framework recently developed in [7, 8].

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DOI : 10.5802/cml.94
Classification : 82B20, 05C10, 53A10, 53C18
Mots-clés : dimer model, Aztec diamond, maximal surfaces in Minkowski 3-space, conformal invariance

Dmitry Chelkak 1, 2, 3 ; Sanjay Ramassamy 4

1 Département de mathématiques et applications de l’ENS, Ecole normale supérieure PSL Research University, CNRS UMR 8553, Paris, France.
2 On leave from St. Petersburg, Department of Steklov Mathematical Institute RAS, Russia.
3 Current address: Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, USA.
4 Université Paris-Saclay, CNRS, CEA, Institut de physique théorique, 91191 Gif-sur-Yvette, France. (Corresponding author)
Licence : CC-BY-NC-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Dmitry Chelkak; Sanjay Ramassamy. Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space. Confluentes Mathematici, Tome 16 (2024), pp. 1-17. doi : 10.5802/cml.94. https://cml.centre-mersenne.org/articles/10.5802/cml.94/

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