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Uniform Lipschitz Functions on the Triangular Lattice Have Logarithmic Variations

Uniform integer-valued Lipschitz functions on a domain of size N of the triangular lattice are shown to have variations of order [Formula: see text] . The level lines of such functions form a loop O(2) model on the edges of the hexagonal lattice with edge-weight one. An infinite-volume Gibbs measure...

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Detalles Bibliográficos
Autores principales: Glazman, Alexander, Manolescu, Ioan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7897325/
https://www.ncbi.nlm.nih.gov/pubmed/33678808
http://dx.doi.org/10.1007/s00220-020-03920-z

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