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## Ergodic Theory and Dynamical Systems

- Ergodic Theory and Dynamical Systems / Volume 23 / Issue 03 / June 2003, pp 831-867
- Copyright © 2003 Cambridge University Press
- DOI: http://dx.doi.org/10.1017/S0143385702001566 (About DOI), Published online: 20 June 2003

## Repetitive Delone sets and quasicrystals
## AbstractThis paper studies the problem of characterizing the simplest aperiodic discrete point sets, using invariants based on topological dynamics. A Delone set of finite type is a Delone set A Delone set (Revised March 12 2002) (this article has been in the public domain since September 1999) Correspondence:^{p1} Department of Mathematics, The University of Queensland, Queensland 4072, Australia. |