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Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings

We prove discrete-to-continuum convergence of interaction energies defined on lattices in the Euclidean space (with interactions beyond nearest neighbours) to a crystalline perimeter, and we discuss the possible Wulff shapes obtainable in this way. Exploiting the “multigrid construction” of quasiper...

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Detalles Bibliográficos
Autores principales: Del Nin, Giacomo, Petrache, Mircea
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9553808/
https://www.ncbi.nlm.nih.gov/pubmed/36247867
http://dx.doi.org/10.1007/s00526-022-02318-0