Tightness of the maximum of Ginzburg-Landau fields
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929281205010432 |
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| author | Schweiger, Florian Wu, Wei Zeitouni, Ofer |
| author_facet | Schweiger, Florian Wu, Wei Zeitouni, Ofer |
| contents | We consider the discrete Ginzburg-Landau field with potential satisfying a uniform convexity condition, in the critical dimension $d=2$, and prove that its maximum over boxes of sidelength $N$, centered by an explicit $N$-dependent centering, is tight. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tightness of the maximum of Ginzburg-Landau fields Schweiger, Florian Wu, Wei Zeitouni, Ofer Probability Mathematical Physics We consider the discrete Ginzburg-Landau field with potential satisfying a uniform convexity condition, in the critical dimension $d=2$, and prove that its maximum over boxes of sidelength $N$, centered by an explicit $N$-dependent centering, is tight. |
| title | Tightness of the maximum of Ginzburg-Landau fields |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2403.11500 |