Finiteness and recognizability problems for substitution maps on two symbols |
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| Authors: | M J Crabb J Duncan C M McGregor |
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| Institution: | 1. Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, Scotland, UK
2. Department of Mathematical Sciences, SCEN 301, University of Arkansas, Fayetteville, AR 72701, USA
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| 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. |
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