Conjugation of standard morphisms and a generalization of singular words
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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
[1] Guy Melanc,et al. Lyndon Words and Singular Factors of Sturmian Words , 2022 .
[2] Patrice Séébold,et al. Fibonacci Morphisms and Sturmian Words , 1991, Theor. Comput. Sci..
[3] Zhi-Xiong Wen,et al. Some Properties of the Singular Words of the Fibonacci Word , 1994, Eur. J. Comb..
[4] Patrice Séébold. On the Conjugation of Standard Morphisms , 1996, MFCS.
[5] M. Lothaire. Algebraic Combinatorics on Words , 2002 .