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math.PR2025
Parallel spin wave for the Villain model
Paul Dario, Wei Wu
In this paper, we study the Villain model in in dimension . It is conjectured, that the parallel correlation function in the infinite volume Gibbs state, i.…
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…
math.PR2023
Mermin-Wagner theorem for dimers, monomer double-dimers, and spatial random permutations
Lorenzo Taggi, Wei Wu
We study a generalisation of the double-dimer model that encompasses several models of interest, including the monomer double-dimer model, spatial random permutations, the dimer mo…