no. 6
Periodicity and roots of transfinite strings
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 6, pp. 525-533

This contribution extends the notions of roots and periodicity to strings of transfinite lengths. It shows that given a transfinite string, either it possesses a unique root or the set of its roots are equivalent in a strong way.

Classification : 68R15
Keywords: ordinals, combinatorics on words 
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     author = {Carton, Olivier and Choffrut, Christian},
     title = {Periodicity and roots of transfinite strings},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {525--533},
     year = {2001},
     publisher = {EDP Sciences},
     volume = {35},
     number = {6},
     mrnumber = {1922293},
     zbl = {1005.68120},
     language = {en},
     url = {https://www.numdam.org/item/ITA_2001__35_6_525_0/}
}
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Carton, Olivier; Choffrut, Christian. Periodicity and roots of transfinite strings. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 35 (2001) no. 6, pp. 525-533. https://www.numdam.org/item/ITA_2001__35_6_525_0/

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