Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866908292907794432 |
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| author | Chelkak, Dmitry Ramassamy, Sanjay |
| author_facet | Chelkak, Dmitry Ramassamy, Sanjay |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_07540 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space Chelkak, Dmitry Ramassamy, Sanjay Mathematical Physics Combinatorics Probability 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. |
| title | Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space |
| topic | Mathematical Physics Combinatorics Probability |
| url | https://arxiv.org/abs/2002.07540 |