The Ising model: Highlights and perspectives
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915096091951104 |
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| author | Kuelske, Christof |
| author_facet | Kuelske, Christof |
| contents | We give a short non-technical introduction to the Ising model, and review some successes as well as challenges which have emerged from its study in probability and mathematical physics. This includes the infinite-volume theory of phase transitions, and ideas like scaling, renormalization group, universality, SLE, and random symmetry breaking in disordered systems and networks. This note is based on a talk given on 15 August 2024, as part of the Ising lecture during the 11th Bernoulli-IMS world congress, Bochum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_05394 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Ising model: Highlights and perspectives Kuelske, Christof Probability Mathematical Physics 60K35, 82B20, 82B26 We give a short non-technical introduction to the Ising model, and review some successes as well as challenges which have emerged from its study in probability and mathematical physics. This includes the infinite-volume theory of phase transitions, and ideas like scaling, renormalization group, universality, SLE, and random symmetry breaking in disordered systems and networks. This note is based on a talk given on 15 August 2024, as part of the Ising lecture during the 11th Bernoulli-IMS world congress, Bochum. |
| title | The Ising model: Highlights and perspectives |
| topic | Probability Mathematical Physics 60K35, 82B20, 82B26 |
| url | https://arxiv.org/abs/2501.05394 |