Concentration inequalities and Transfer operators for supercritical Dyson models
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912517028052992 |
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| author | Makhmudov, Mirmukhsin |
| author_facet | Makhmudov, Mirmukhsin |
| contents | The present paper extends the results on the ferromagnetic Dyson models from \cites{EFMV2024, JOP2025} to the near-critical and strongly interacting regimes. As part of our main result, we further establish Gaussian concentration bounds for the unique infinite-volume Gibbs measure throughout the entire supercritical regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01703 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Concentration inequalities and Transfer operators for supercritical Dyson models Makhmudov, Mirmukhsin Probability Mathematical Physics Dynamical Systems 60G60, 37C30, 37A50, 37A60, 82B20, 82B05, 82B26 The present paper extends the results on the ferromagnetic Dyson models from \cites{EFMV2024, JOP2025} to the near-critical and strongly interacting regimes. As part of our main result, we further establish Gaussian concentration bounds for the unique infinite-volume Gibbs measure throughout the entire supercritical regime. |
| title | Concentration inequalities and Transfer operators for supercritical Dyson models |
| topic | Probability Mathematical Physics Dynamical Systems 60G60, 37C30, 37A50, 37A60, 82B20, 82B05, 82B26 |
| url | https://arxiv.org/abs/2508.01703 |