Tightness of the maximum of Ginzburg–Landau fields

The Annals of Probability 2026 Open access

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Authors: Florian Schweiger, Wei Wu, Ofer Zeitouni
DOI: 10.1214/25-aop1808
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Advanced Differential Geometry Research Geometric Analysis and Curvature Flows

Publication details

Journal / source
The Annals of Probability
Volume
54
Issue
5
Pages
2436–2507
Publication date
28 August 2026
Language
EN