Inventiones mathematicae

, Volume 128, Issue 3, pp 603–611 | Cite as

Aperiodic tilings

  • Shahar Mozes


Symmetric Space Cayley Graph Tiling System Chevalley Group Uniform Lattice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [Ber]
    Berger, R.: The undecidability of the domino problem, Memoirs Amer. Math. Soc. 66 (1966)Google Scholar
  2. [BW]
    Block, J., Weinberger, S.: Aperiodic tilings, positive scalar curvature and amenability of spaces, Jour, of the AMS 5 (1992), 907–918zbMATHMathSciNetGoogle Scholar
  3. [Bro]
    Brown, K.S.: Buildings, Springer-Verlag, 1988Google Scholar
  4. [EF]
    Eskin, A., Farb, B.: Quasi-flats and rigidity in higher rank symmetric spaces, preprintGoogle Scholar
  5. [GS]
    Grünbaum, B., Shephard, G.C.: Tilings and Patterns, W.H. Freeman and co., New York, 1987zbMATHGoogle Scholar
  6. [Ke1]
    Kenyon, R.: Rigidity of planar tilings, Inventiones Mathematicae 107 (1992), 637–651zbMATHCrossRefMathSciNetGoogle Scholar
  7. [Ke2]
    Kenyon, R.: Inflationary tilings with a similarity structure, Comment. Math. Helv. 69 (1994), 169–198zbMATHCrossRefMathSciNetGoogle Scholar
  8. [KL]
    Kleiner, B., Leeb, B.: Rigidity of quasiisometries for symmetric spaces of higher rank, preprintGoogle Scholar
  9. [Pan]
    Pansu, P.: Métriques de Carnot-Carathéodory et quasiisometries des espaces symétriques de rang un, Annals of Math. (1989), 1–60Google Scholar
  10. [Pen]
    Penrose, R.: Pentaplexity, Math. Inteligencer 2 (1979), 32–37zbMATHCrossRefMathSciNetGoogle Scholar
  11. [Rad]
    Radin, C.: Global order from local sources, Bulletin of the AMS 25 (1991), 335–364zbMATHCrossRefMathSciNetGoogle Scholar
  12. [Rob]
    Robinson, R.M.: Undecidable tiling problems in the hyperbolic plane., Inventiones Mathematicae 44 (1978), 259–264zbMATHCrossRefMathSciNetGoogle Scholar
  13. [Ron]
    Ronan, M.A.: Lectures on Buildings. Academic Press, 1989Google Scholar
  14. [Th]
    Thurston, W.P.: Groups, tilings, and finite state automata. Lecture notes, AMS Colloquium lectures (1990)Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Shahar Mozes
    • 1
  1. 1.Institute of MathematicsHebrew UniversityJerusalemIsrael

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