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Free boundary dimers: random walk representation and scaling limit

We study the dimer model on subgraphs of the square lattice in which vertices on a prescribed part of the boundary (the free boundary) are possibly unmatched. Each such unmatched vertex is called a monomer and contributes a fixed multiplicative weight [Formula: see text] to the total weight of the c...

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Detalles Bibliográficos
Autores principales: Berestycki, Nathanaël, Lis, Marcin, Qian, Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10271954/
https://www.ncbi.nlm.nih.gov/pubmed/37334240
http://dx.doi.org/10.1007/s00440-023-01203-x

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