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Sharp [Formula: see text] Law for the Minimizers of the Edge-Isoperimetric Problem on the Triangular Lattice

We investigate the edge-isoperimetric problem (EIP) for sets of n points in the triangular lattice by emphasizing its relation with the emergence of the Wulff shape in the crystallization problem. By introducing a suitable notion of perimeter and area, EIP minimizers are characterized as extremizers...

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Detalles Bibliográficos
Autores principales:	Davoli, Elisa, Piovano, Paolo, Stefanelli, Ulisse
Formato:	Online Artículo Texto
Lenguaje:	English
Publicado:	Springer US 2016
Materias:	Article
Acceso en línea:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5501203/ https://www.ncbi.nlm.nih.gov/pubmed/28747811 http://dx.doi.org/10.1007/s00332-016-9346-1

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