Published Paper
(2009)
Journal: C. R. Acad. Sci. Paris
Volume: 347
Pages: 697-700
Keywords:
Homogenization, integral functionals, Penrose tilings, almost-periodic functions
Abstract.
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. The method applies to general quasicristalline geometries.
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