Haynes, A., Julien, A., Koivusalso, H. and Walton, J. (2019) Statistics of patterns in typical cut and project sets. Ergodic Theory and Dynamical Systems, 39(12), pp. 3365-3387. (doi: 10.1017/etds.2018.15)
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Abstract
In this article pattern statistics of typical cubical cut and project sets are studied. We give estimates for the rate of convergence of appearances of patches to their asymptotic frequencies. We also give bounds for repetitivity and repulsivity functions. The proofs use ideas and tools developed in discrepancy theory.
| Item Type: | Articles |
|---|---|
| Additional Information: | The research of A.H., J.W. and H.K. was supported by EPSRC grants L001462, J00149X and M023540. H.K. was supported by the Osk. Huttunen foundation. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Walton, Dr Jamie |
| Authors: | Haynes, A., Julien, A., Koivusalso, H., and Walton, J. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Ergodic Theory and Dynamical Systems |
| Publisher: | Cambridge University Press |
| ISSN: | 0143-3857 |
| ISSN (Online): | 1469-4417 |
| Published Online: | 13 March 2018 |
| Copyright Holders: | Copyright © 2018 Cambridge University Press |
| First Published: | First published in Ergodic Theory and Dynamical Systems 39(12): 3365-3387 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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