From hexagonal lattice to 3-12 lattice: self-avoiding walk, Ising model and percolation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910276896423936 |
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| author | Mou, Junyu Wu, Hao |
| author_facet | Mou, Junyu Wu, Hao |
| contents | In this survey, we extend conclusions on the hexagonal lattice to 3-12 lattice: the connective constant for the 3-12 lattice can be derived from the connective constant for the hexagonal lattice; the conformal invariance of the Ising model and of the percolation on the 3-12 lattice can be derived from their conformal invariance on the hexagonal lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_00945 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From hexagonal lattice to 3-12 lattice: self-avoiding walk, Ising model and percolation Mou, Junyu Wu, Hao Probability 82B20 In this survey, we extend conclusions on the hexagonal lattice to 3-12 lattice: the connective constant for the 3-12 lattice can be derived from the connective constant for the hexagonal lattice; the conformal invariance of the Ising model and of the percolation on the 3-12 lattice can be derived from their conformal invariance on the hexagonal lattice. |
| title | From hexagonal lattice to 3-12 lattice: self-avoiding walk, Ising model and percolation |
| topic | Probability 82B20 |
| url | https://arxiv.org/abs/2606.00945 |