Sturmian jungle (or garden?) on multiliteral alphabets
Department of Mathematics, FNSPE, Czech Technical
University in Prague, Trojanova 13, 120 00 Praha 2, Czech Republic;
Accepted: 28 September 2010
The properties characterizing Sturmian words are considered for words on multiliteral alphabets. We summarize various generalizations of Sturmian words to multiliteral alphabets and enlarge the list of known relationships among these generalizations. We provide a new equivalent definition of rich words and make use of it in the study of generalizations of Sturmian words based on palindromes. We also collect many examples of infinite words to illustrate differences in the generalized definitions of Sturmian words.
Mathematics Subject Classification: 68R15
Key words: Sturmian words / generalizations of Sturmian words / palindromes / rich words
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