Extremal Properties Of (Epi)Sturmian Sequences And Distribution Modulo 1
ENSEIGNEMENT MATHEMATIQUE（2010）
摘要
Starting from a study of Y. Bugeaud and A. Dubickas (2005) on a question about the distribution of real numbers modulo 1 via combinatorics on words, we survey some combinatorial properties of (epi)Sturmian sequences and distribution modulo 1 in connection to their work. In particular we focus on extremal properties of (epi)Sturmian sequences, some of which have been rediscovered several times.
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关键词
distribution modulo 1,mahler z-number. 1,sturmian sequence,episturmian se- quence,lexicographic order,arnoux-rauzy sequence,. combinatorics on words,number theory,combinatorics on words
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