Homogenization of Penrose tilings: calculus of variations

Braides, Andrea and Riey, Giuseppe and Solci, Margherita (2009) Homogenization of Penrose tilings: calculus of variations. Comptes rendus. Mathematique, Vol. 347 (11-12), p. 697-700. ISSN 1631-073X. Article.

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DOI: 10.1016/j.crma.2009.03.019

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 W¹-almost periodic and hence also Besicovitch almost periodic, so that existing general homogenization theorems can be applied (Braides, 1986). The method applies to general quasicrystalline geometries.

Item Type:	Article
ID Code:	1802
Status:	Published
Refereed:	Yes
Uncontrolled Keywords:	Penrose tiling, homogenization theorems, quasicrystalline geometries
Subjects:	Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
Divisions:	001 Università di Sassari > 01 Dipartimenti > Architettura e pianificazione
Publisher:	Elsevier Masson
ISSN:	1631-073X
Publisher Policy:	© Académie des Sciences
Additional Information:	Pubblicato online il 21 aprile 2009.
Deposited On:	18 Aug 2009 10:06

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