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Involutions of epicentral words

机译:中心词对合

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摘要

Episturmian sequences, or words, are a natural generalization of Sturmian sequences to arbitrary finite alphabets. In this paper we investigate various combinatorial properties of epicentral words, i.e., palindromic prefixes of standard episturmian words. We consider the action of certain involutions defined on epicentral words. Weshow that in some cases their fixed points may be characterized in terms of suitable faithful representations of epicentral words. We further show that various previously known results for central Sturmian words may be extended to epicentral words.
机译:Episturmian序列或单词是Sturmian序列对任意有限字母的自然概括。在本文中,我们研究了震中词的各种组合特性,即标准知情词的回文前缀。我们考虑在中心词上定义的某些内卷的作用。我们表明,在某些情况下,可以通过适当忠实地表达中心词来表征其固定点。我们进一步表明,针对中央Sturmian单词的各种先前已知的结果可能会扩展到震中单词。

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