메뉴 건너뛰기




Volumn 30, Issue 4, 2003, Pages 573-589

A Note on Shelling

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347382802     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00454-003-2873-1     Document Type: Article
Times cited : (16)

References (46)
  • 3
    • 0032370055 scopus 로고    scopus 로고
    • Topological invariants for substitution tilings and their associated C*algebras
    • J. E. Anderson and I. F. Putnam, Topological invariants for substitution tilings and their associated C*algebras, Ergodic Theory Dynamical Systems 18 (1998), 509-537.
    • (1998) Ergodic Theory Dynamical Systems , vol.18 , pp. 509-537
    • Anderson, J.E.1    Putnam, I.F.2
  • 4
    • 0013431406 scopus 로고    scopus 로고
    • A guide to mathematical quasicrystals
    • eds. J.-B. Suck, M. Schreiber and P. Häussler, Springer-Verlag, Berlin; math-ph/9901014
    • M. Baake, A guide to mathematical quasicrystals, in: Quasicrystals, eds. J.-B. Suck, M. Schreiber and P. Häussler, Springer-Verlag, Berlin, 2002, pp. 17-48; math-ph/9901014.
    • (2002) Quasicrystals , pp. 17-48
    • Baake, M.1
  • 6
    • 33646606452 scopus 로고    scopus 로고
    • Quasicrystalline combinatorics
    • eds. J. P. Gazeau and R. Kerner, IOP, Bristol; preprint mp_arc/02-392
    • M. Baake and U. Grimm, Quasicrystalline combinatorics, to appear in: Proceedings of GROUP24, eds. J. P. Gazeau and R. Kerner, IOP, Bristol, 2003; preprint mp_arc/02-392.
    • (2003) Proceedings of GROUP24
    • Baake, M.1    Grimm, U.2
  • 7
    • 0346515653 scopus 로고    scopus 로고
    • Combinatorial problems of (quasi-)crystallography
    • ed. H.-R. Trebin, Wiley-VCH, Berlin; preprint math-ph/0212015
    • M. Baake and U. Grimm, Combinatorial problems of (quasi-)crystallography, in: Quasicrystals - Structure and Physical Properties, ed. H.-R. Trebin, Wiley-VCH, Berlin, 2003, pp. 160-179; preprint math-ph/0212015.
    • (2003) Quasicrystals - Structure and Physical Properties , pp. 160-179
    • Baake, M.1    Grimm, U.2
  • 8
    • 0034513029 scopus 로고    scopus 로고
    • Averaged shelling for quasicrystals
    • math.MG/9907156
    • M. Baake, U. Grimm, D. Joseph and P. Repetowicz, Averaged shelling for quasicrystals, Mat. Sci. Engrg. A 294-296 (2000), 441-445; math.MG/9907156.
    • (2000) Mat. Sci. Engrg. A , vol.294-296 , pp. 441-445
    • Baake, M.1    Grimm, U.2    Joseph, D.3    Repetowicz, P.4
  • 9
    • 0039539736 scopus 로고
    • Ideal and defective vertex configurations in the planar octagonal quasilattice
    • M. Baake and D. Joseph, Ideal and defective vertex configurations in the planar octagonal quasilattice, Phys. Rev. B 42 (1990), 8091-8102.
    • (1990) Phys. Rev. B , vol.42 , pp. 8091-8102
    • Baake, M.1    Joseph, D.2
  • 12
    • 84922455944 scopus 로고    scopus 로고
    • Weighted Dirac combs with pure point diffraction
    • in press; math.MG/0203030
    • M. Baake and R. V. Moody, Weighted Dirac combs with pure point diffraction, J. Reine Angew. Math. (Crelle), in press; math.MG/0203030.
    • J. Reine Angew. Math. (Crelle)
    • Baake, M.1    Moody, R.V.2
  • 13
    • 0031627156 scopus 로고    scopus 로고
    • K-théorie des quasi-cristaux, image par la trace: Le cas du réseau octogonal
    • J. Bellissard, E. Contensou and A. Legrand, K-théorie des quasi-cristaux, image par la trace: Le cas du réseau octogonal, C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), 197-200.
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.326 , pp. 197-200
    • Bellissard, J.1    Contensou, E.2    Legrand, A.3
  • 18
    • 0011066248 scopus 로고
    • A highly symmetric four-dimensional quasicrystal
    • V. Elser and N. J. A. Sloane, A highly symmetric four-dimensional quasicrystal, J. Phys. A 20 (1987), 6161-6168.
    • (1987) J. Phys. A , vol.20 , pp. 6161-6168
    • Elser, V.1    Sloane, N.J.A.2
  • 20
    • 33646603103 scopus 로고    scopus 로고
    • Private communication
    • F. Gähler, Private communication, 2002.
    • (2002)
    • Gähler, F.1
  • 21
    • 0040935485 scopus 로고
    • Units with norm -1 and signatures of units
    • D. A. Garbanati, Units with norm -1 and signatures of units, J. Math. (Crelle) 283/284 (1976), 164-175.
    • (1976) J. Math. (Crelle) , vol.283-284 , pp. 164-175
    • Garbanati, D.A.1
  • 22
    • 0011904678 scopus 로고    scopus 로고
    • Radial positive definite functions generated by Euclid's hat
    • T. Gneiting, Radial positive definite functions generated by Euclid's hat, J. Multivariate Anal. 69 (1999), 88-119.
    • (1999) J. Multivariate Anal. , vol.69 , pp. 88-119
    • Gneiting, T.1
  • 26
    • 84922424344 scopus 로고    scopus 로고
    • KANT/KASH
    • KANT/KASH, http://www.math.tu-berlin.de/̃kant/kash.html.
  • 27
    • 0033478409 scopus 로고    scopus 로고
    • Geometric models for quasicrystals, I. Delone sets of finite type
    • J. C. Lagarias, Geometric models for quasicrystals, I. Delone sets of finite type, Discrete Comput. Geom. 21 (1999), 161-191.
    • (1999) Discrete Comput. Geom. , vol.21 , pp. 161-191
    • Lagarias, J.C.1
  • 28
    • 0035580706 scopus 로고    scopus 로고
    • Lattice substitution systems and model sets
    • math.MG/0002019
    • J.-Y. Lee and R. V. Moody, Lattice substitution systems and model sets, Discrete Comput. Geom. 25 (2001), 173-201 ; math.MG/0002019.
    • (2001) Discrete Comput. Geom. , vol.25 , pp. 173-201
    • Lee, J.-Y.1    Moody, R.V.2
  • 29
    • 0000747684 scopus 로고
    • Beware of 46-fold symmetry: The classification of two-dimensional quasicrystallographic lattices
    • N. D. Mermin, D. S. Rokhsar and D. C. Wright, Beware of 46-fold symmetry: the classification of two-dimensional quasicrystallographic lattices, Phys. Rev. Lett. 58 (1987), 2099-2101.
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 2099-2101
    • Mermin, N.D.1    Rokhsar, D.S.2    Wright, D.C.3
  • 31
    • 0013330815 scopus 로고    scopus 로고
    • Model sets: A survey
    • eds. F. Axel, F. Dénoyer and J. P. Gazeau, EDP Sciences, Les Ulis, and Springer-Verlag, Berlin; math.MG/0002020
    • R. V. Moody, Model sets: a survey, in: From Quasicrystals to More Complex Systems, eds. F. Axel, F. Dénoyer and J. P. Gazeau, EDP Sciences, Les Ulis, and Springer-Verlag, Berlin, 2000, pp. 145-166; math.MG/0002020.
    • (2000) From Quasicrystals to More Complex Systems , pp. 145-166
    • Moody, R.V.1
  • 32
    • 0036521930 scopus 로고    scopus 로고
    • Uniform distribution in model sets
    • R. V. Moody, Uniform distribution in model sets, Canad. Math. Bull. 45 (2002), 123-130.
    • (2002) Canad. Math. Bull. , vol.45 , pp. 123-130
    • Moody, R.V.1
  • 34
    • 0032553275 scopus 로고    scopus 로고
    • Octagonal quasicrystals and a formula for shelling
    • J. Morita and K. Sakamoto, Octagonal quasicrystals and a formula for shelling, J. Phys. A 31 (1998), 9321-9325.
    • (1998) J. Phys. A , vol.31 , pp. 9321-9325
    • Morita, J.1    Sakamoto, K.2
  • 37
    • 0003106750 scopus 로고    scopus 로고
    • Fields Institute Monographs, AMS, Providence, RI
    • J. Patera (ed.), Quasicrystals and Discrete Geometry, Fields Institute Monographs, vol. 10, AMS, Providence, RI, 1998.
    • (1998) Quasicrystals and Discrete Geometry , vol.10
    • Patera, J.1
  • 39
    • 0030538070 scopus 로고    scopus 로고
    • Planar coincidences for N-fold symmetry
    • P. A. B. Pleasants, M. Baake and J. Roth, Planar coincidences for N-fold symmetry, J. Math. Phys. 37 (1996), 1029-1058.
    • (1996) J. Math. Phys. , vol.37 , pp. 1029-1058
    • Pleasants, P.A.B.1    Baake, M.2    Roth, J.3
  • 40
    • 21144467925 scopus 로고
    • 8 lattice and quasicrystals: Geometry, number theory, and quasicrystals
    • 8 lattice and quasicrystals: geometry, number theory, and quasicrystals, J. Phys. A 26 (1993), 1789-1809.
    • (1993) J. Phys. A , vol.26 , pp. 1789-1809
    • Sadoc, J.-F.1    Mosseri, R.2
  • 43
    • 0004024233 scopus 로고
    • Cambridge University Press, Cambridge; corrected reprint
    • M. Senechal, Quasicrystals and Geometry, Cambridge University Press, Cambridge, 1995; corrected reprint, 1996.
    • (1995) Quasicrystals and Geometry
    • Senechal, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.