Conjugation of standard morphisms and a generalization of singular words

Conjugation of standard morphisms and a generalization of singular words
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DOI:
10.36045/bbms/1074791329
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发表时间:
2003-12
影响因子:
0.5
通讯作者:
Florence Levé;Patrice Séébold
Florence Levé;Patrice Séébold
中科院分区:
数学4区
文献类型:
--
作者:
Florence Levé;Patrice Séébold

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本文研究了标准态射的右共轭对无限词的作用,如果存在由该态射生成的无限词,证明了当g是生成无限词的标准态射的第i个右共轭时,gx是x的第i个共轭。作为应用,我们推广到了F的所有共轭,文氏分解和Fibonacci词F在奇异词中的分解
We study the action of right conjugates of a standard morphism on the in nite word if exists generated by this morphism We prove that when g is the i th right conjugate of a standard morphism generating an in nite word x g x is the i th conjugate of x As an application we generalize to all the conjugates of F Wen and Wen s decomposition of the Fibonacci word F in singular words