Perfect t-Embeddings of Uniformly Weighted Generalized Tower Graphs
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909802209214464 |
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| author | Keating, David Vu, Hieu Trung |
| author_facet | Keating, David Vu, Hieu Trung |
| contents | In this paper, we study sequences of perfect t-embeddings of a uniformly weighted family of graphs we call generalized tower graphs. We show that the embeddings of these graphs satisfy certain technical assumptions, in particular, the rigidity assumption of Berggren-Nicoletti-Russkikh. As a result, we confirm the convergence of the gradients of the height function fluctuations of these graphs to those of the Gaussian free field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18791 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perfect t-Embeddings of Uniformly Weighted Generalized Tower Graphs Keating, David Vu, Hieu Trung Mathematical Physics Combinatorics Probability In this paper, we study sequences of perfect t-embeddings of a uniformly weighted family of graphs we call generalized tower graphs. We show that the embeddings of these graphs satisfy certain technical assumptions, in particular, the rigidity assumption of Berggren-Nicoletti-Russkikh. As a result, we confirm the convergence of the gradients of the height function fluctuations of these graphs to those of the Gaussian free field. |
| title | Perfect t-Embeddings of Uniformly Weighted Generalized Tower Graphs |
| topic | Mathematical Physics Combinatorics Probability |
| url | https://arxiv.org/abs/2509.18791 |