Equality of the critical inverse temperatures for the one- and two-sided Dyson models
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908722345803776 |
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| author | Berger, Noam Johansson, Anders Öberg, Anders |
| author_facet | Berger, Noam Johansson, Anders Öberg, Anders |
| contents | We prove that the critical inverse temperatures $β_c^{\mathbb N}(α)$ and $β_c^{\mathbb Z}(α)$ for the one- and two-sided Dyson models are the same when the power of the interaction strength $α$ satisfies $1<α<2$. We conjecture that this is true also in the remaining case of $α=2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17451 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equality of the critical inverse temperatures for the one- and two-sided Dyson models Berger, Noam Johansson, Anders Öberg, Anders Probability Mathematical Physics 37D35 (Primary), 37A60, 82B20, 82B26, 82C27 We prove that the critical inverse temperatures $β_c^{\mathbb N}(α)$ and $β_c^{\mathbb Z}(α)$ for the one- and two-sided Dyson models are the same when the power of the interaction strength $α$ satisfies $1<α<2$. We conjecture that this is true also in the remaining case of $α=2$. |
| title | Equality of the critical inverse temperatures for the one- and two-sided Dyson models |
| topic | Probability Mathematical Physics 37D35 (Primary), 37A60, 82B20, 82B26, 82C27 |
| url | https://arxiv.org/abs/2512.17451 |