Homogenization of Penrose tilings
Homogenization of Penrose tilings
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DOI：
10.1016/j.crma.2009.03.019
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发表时间：
2009-06-01
影响因子：
0.8
通讯作者：
Solci, Margherita
中科院分区：
文献类型：
--
作者：
Braides, Andrea;Riey, Giuseppe;Solci, Margherita
一个均匀化定理证明的能量遵循的非周期彭罗斯镶嵌的几何形状。通过证明相应的能量密度是W-1-概周期的，因此也是Besicovitch概周期的，从而可以应用现有的一般均匀化定理（Braides，1986）。该方法适用于一般的准晶几何形状。引用这篇文章：A。Braides等人，C R. Acad. Sci.巴黎，系列I 347（2009）。(C)2009年，科学院。由Elsevier Masson SAS出版。All rights reserved.
A homogenization theorem is proved for energies which follow the geometry of an a-periodic Penrose tiling. The result is obtained by proving that the corresponding energy densities are W-1-almost periodic and hence also Besicovitch almost periodic, so that existing general homogenization theorems can be applied (Braides, 1986). The method applies to general quasi crystalline geometries. To cite this article: A. Braides et al., C R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.