Work

Tightness of the maximum of Ginzburg–Landau fields

Year: 2026

Type: article

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.

Source: The Annals of Probability

DOI: 10.1214/25-aop1808

Authors: Florian Schweiger, Wei Wu, Ofer Zeitouni

Institutions: University of Geneva, New York University Shanghai, Weizmann Institute of Science

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4392970157

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