Nonperiodicity implies unique composition for self-similar translationally finite Tilings

Author:

Solomyak B.

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference16 articles.

1. J. Anderson and I. Putnam, Topological invariants for substitution tilings and their associated C*-algebras, Ergodic Theory Dynamical Systems, to appear.

2. M. Baake and M. Schlottmann, Geometric aspects of tilings and equivalence concepts, in Proc. ICQ5, World Scientific, Singapore, 1995, pp. 15–21.

3. C. Bandt, Self-similar tilings and patterns described by mappings, in The Mathematics of Aperiodic Order—Proceedings of NATO-Advanced Studies Institute, Waterloo, ON, August 1995, to appear.

4. C. Bandt and G. Gelbrich, Classification of self-affine lattice tilings, J. London Math. Soc. 50:2 (1994), 581–593.

5. C. Goodman-Strauss, Matching rules and substitution tilings, Preprint, 1996.

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