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On Markoff's property and Sturmian words

✍ Scribed by Christophe Reutenauer


Publisher
Springer
Year
2006
Tongue
English
Weight
179 KB
Volume
336
Category
Article
ISSN
0025-5831

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In this paper we prove that the set W" of cc-words over (0, I} coincides with the set of images of 0 under Sturmian morphisms. This gives an alternative approach of generating z-words. For each w E W, a Sturmian solution H of the equation w = H(0) which is a composition of Sturmian morphisms of spec