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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.16804 |
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| _version_ | 1866918135483858944 |
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| author | Ott, Sébastien Schweiger, Florian |
| author_facet | Ott, Sébastien Schweiger, Florian |
| contents | We study a family of integer-valued random interface models on the two-dimensional square lattice that include the solid-on-solid model and more generally $p$-SOS models for $0<p\le2$, and prove that at sufficiently high temperature the interface is delocalized logarithmically uniformly in the boundary data. Fröhlich and Spencer had studied the analogous problem with free boundary data, and our proof is based on their multi-scale argument, with various technical improvements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16804 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt Ott, Sébastien Schweiger, Florian Probability Mathematical Physics We study a family of integer-valued random interface models on the two-dimensional square lattice that include the solid-on-solid model and more generally $p$-SOS models for $0<p\le2$, and prove that at sufficiently high temperature the interface is delocalized logarithmically uniformly in the boundary data. Fröhlich and Spencer had studied the analogous problem with free boundary data, and our proof is based on their multi-scale argument, with various technical improvements. |
| title | Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2505.16804 |