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arXiv · 2403.11500

Tightness of the maximum of Ginzburg-Landau fields

Florian Schweiger·Wei Wu·Ofer Zeitouni
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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.

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Florian Schweiger, Wei Wu, Ofer Zeitouni. 2024-03-18. Tightness of the maximum of Ginzburg-Landau fields. https://arxiv.org/abs/2403.11500

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