Tightness of the maximum of Ginzburg–Landau fields
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.
Authors
- Ofer Zeitouni (ORCID: https://orcid.org/0000-0002-2520-1525)
- Florian Schweiger (ORCID: https://orcid.org/0000-0003-2026-7688)
- Wei Wu (ORCID: https://orcid.org/0000-0002-7004-2789)
Institutions
- University of Geneva (CH)
- New York University Shanghai (CN)
- Weizmann Institute of Science (IL)
Publication Details
- Journal
- The Annals of Probability
- Published
- 2026-08-28
- DOI
- https://doi.org/10.1214/25-aop1808
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00