Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space
| Autor: | Chelkak, Dmitry, Ramassamy, Sanjay |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $\mathbb{R}^{2,1}$. 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 arXiv:2109.06272. Comment: 13 pages, 6 figures. Final version accepted for publication in Confluentes Mathematici |
| Databáze: | arXiv |
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