Crabb, M. J., Duncan, J. and McGregor, C. M. (2010) Finiteness and recognizability problems for substitution maps on two symbols. Semigroup Forum, 81(1), pp. 71-84. (doi: 10.1007/s00233-010-9246-x)
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Publisher's URL: http://dx.doi.org/10.1007/s00233-010-9246-x
Abstract
We investigate minimal, compact, square-closed subsets of the unit circle by identifying them with subsets of [0,1] and with sets of infinite words on two symbols; in particular, such sets arising from substitution maps. We consider problems on finiteness, recognizability, square roots, density and measure. Properties of the free semigroup on two symbols play a significant role in the analysis.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | McGregor, Dr Colin and Crabb, Dr Michael |
| Authors: | Crabb, M. J., Duncan, J., and McGregor, C. M. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Semigroup Forum |
| ISSN: | 0037-1912 |
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