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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2022
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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 |