| First Authors | Michael Borinsky |
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| Authors | Michael Borinsky, Shiyue Ren, Maximilian Wiesmann |
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| Last Authors | Maximilian Wiesmann |
| Journal Name | ArXiv (ArXiv) |
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| Article Number | arXiv:2607.07867 |
| Open Access | true |
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| Online Publication Date | 2026-07-08 |
| Abstract | We give an exact solution of the ferromagnetic Ising model on a random regular graph ensemble via analytic combinatorics. Expressing the partition function as the generating function of labeled edge-bicolored graphs, we obtain the free energy in the thermodynamic limit from the asymptotic enumeration of these graphs. A simple analysis of the resulting formula reveals a second-order phase transition with critical exponents of the mean-field universality class. |
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| Affiliated With | Maraj, Postdocs, CSBD |
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| Publication Status | Published |
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| Alternative Full Text URL | https://arxiv.org/abs/2607.07867 |
| Display Publisher Download Only | false |
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| Created By | thuem |
| Added Date | 2026-07-10 |
| Last Edited By | thuem |
| Last Edited Date | 2026-07-10 16:33:42.451 |
| Library ID | 9268 |
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| eDoc Compliant | false |
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