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This article is cited in 12 scientific papers (total in 12 papers)
The geometry of quasicrystals
Lê Thang Tu Quoc, S. A. Piunikhin, V. A. Sadov
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Russian Mathematical Surveys, 1993, 48:1, 37–100
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UDC:
514
MSC: 52C23, 20H15
Citation:
Lê Thang Tu Quoc, S. A. Piunikhin, V. A. Sadov, “The geometry of quasicrystals”, Uspekhi Mat. Nauk, 48:1(289) (1993), 41–102; Russian Math. Surveys, 48:1 (1993), 37–100
Citation in format AMSBIB
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\jour Russian Math. Surveys
\yr 1993
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\issue 1
\pages 37--100
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http://mi.mathnet.ru/eng/umn1492 http://mi.mathnet.ru/eng/umn/v48/i1/p41
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This publication is cited in the following articles:
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R. Lifshitz, “The symmetry of quasiperiodic crystals”, Physica A: Statistical Mechanics and its Applications, 232:3-4 (1996), 633
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Jeffrey C Lagarias, “The impact of aperiodic order on mathematics”, Materials Science and Engineering: A, 294-296 (2000), 186
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V. A. Artamonov, “Quasicrystals and their symmetries”, J. Math. Sci., 139:4 (2006), 6657–6662
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I. A. Dynnikov, S. P. Novikov, “Topology of quasi-periodic functions on the plane”, Russian Math. Surveys, 60:1 (2005), 1–26
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D. V. Kovalenko, “Construction of a unified model for crystal and nearly crystal structures”, Comput. Math. Math. Phys., 45:8 (2005), 1311–1324
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R. M. Garipov, V. A. Churkin, “Quasicrystallographic groups on Minkowski spaces”, Siberian Math. J., 50:4 (2009), 616–631
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V. A. Churkin, “The weak Bieberbach theorem for crystallographic groups on pseudo-Euclidean spaces”, Siberian Math. J., 51:3 (2010), 557–568
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V. A. Artamonov, S. Sanchez, “On Symmetry Groups of Quasicrystals”, Math. Notes, 87:3 (2010), 303–308
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V. A. Artamonov, S. Sánchez, “On finite symmetry groups of some models of three-dimensional quasicrystals”, Siberian Math. J., 52:6 (2011), 969–979
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R. M. Garipov, M. S. Kotelnikova, “$4$-kristally i kvazikristally”, Sib. zhurn. industr. matem., 17:1 (2014), 28–35
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Nicolas Bédaride, Thomas Fernique, “When Periodicities Enforce Aperiodicity”, Commun. Math. Phys, 2015
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A. B. Antonevich, A. N. Buzulutskaya (Glaz), “Almost-Periodic Algebras and Their Automorphisms”, Math. Notes, 102:5 (2017), 610–622
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