3 papers
math.PR2026
Gradient Gibbs measures with non-convex potentials and the universality class of the Gaussian Free Field
Simon Buchholz, Codina Cotar, Florian Schweiger
We study a general class of gradient interface models with Hamiltonian , , assuming essentially that the potential is even, on $[0,\infty…
math.PR2025
Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt
Sébastien Ott, Florian Schweiger
We study a family of integer-valued random interface models on the two-dimensional square lattice that include the solid-on-solid model and more generally -SOS models for $0<p\l…
math.PR2024
Tightness of the maximum of Ginzburg-Landau fields
Florian Schweiger, Wei Wu, Ofer Zeitouni
We consider the discrete Ginzburg-Landau field with potential satisfying a uniform convexity condition, in the critical dimension , and prove that its maximum over boxes of si…