Point Sets and Dynamical Systems in the Autocorrelation Topology

Canadian Mathematical Bulletin

Volumn 47, Issue 1, 2004, Pages 82-99

  Moody, Robert V ^a   Strungaru, Nicolae ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1442332613     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-2004-010-8     Document Type: Article

References (10)

1. M. Baake, D. Lenz, and R. V. Moody, Characterization of model sets by dynamical systems. In preparation.
2. M. Baake and R. V. Moody, Weighted Dirac combs with pure point diffraction. Journal für die reine und angewandte Mathematik (Crelle's Journal), to appear.
3. N. Bourbaki, Elements of Mathematics: General Topology. Chapters 1-4 and 5-10, Springer, Berlin, 1989, reprint.
4. Y. Meyer, Algebraic Numbers and Harmonic Analysis. North-Holland, Amsterdam, 1972.
5. 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, Berlin, 2000, 145-166.
6. _, Uniform distribution in model sets. Canad. Math. Bull. 45(2002) 123-130.
7. C. Radin and M. Wolff, Space tilings and local isomorphism. Geom. Dedicata 42(1992), 355-360.
8. W. Rudin, Fourier Analysis on Groups. Wiley, New York, 1962; reprint, 1990.
9. M. Schlottmann, Cut-and-project sets in locally compact Abelian groups. In: Quasicrystals and Discrete Geometry, (ed., J. Patera), Fields Inst. Monogr. 10, Amer. Math. Soc., Providence, RI, 1998, 247-264.
10. _, Generalized model sets and dynamical systems. In: Directions in Mathematical Quasicrystals, (eds., M. Baake and R. V. Moody), CRM Monograph Series 13, Amer. Math. Soc., Providence, RI, 2000, 143-159.