(epi)Sturmian序列的极值性质与模1分布
Extremal properties of (epi)Sturmian sequences and distribution modulo 1
摘要:
从Y. Bugeaud和A. Dubickas(2005)关于通过词上的组合数学研究实数模1分布的问题,我们综述了(epi)Sturmian序列和模1分布的一些组合性质。特别是,我们专注于极值性质的(epi)Sturmian序列,其中一些已被重新发现了几次。
英文摘要:
Starting from a study of Y. Bugeaud and A. Dubickas (2005) on a question in 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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