Look and Say Fibonacci

Séébold, Patrice

doi:10.1051/ita:2007060

Séébold, Patrice

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 4, pp. 729-746

Résumé

The $L S$ (Look and Say) derivative of a word is obtained by writing the number of consecutive equal letters when the word is spelled from left to right. For example, $L S (1 1 2 3 3) = 2 1 1 2 2 3$ (two $1$ , one $2$ , two $3$ ). We start the study of the behaviour of binary words generated by morphisms under the $L S$ operator, focusing in particular on the Fibonacci word.

EuDML MR Zbl

DOI : 10.1051/ita:2007060

Classification : 68R15
Keywords: look and say sequence, Conway, binary words, Fibonacci word, morphisms, Lyndon factorization

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     title = {Look and {Say} {Fibonacci}},
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     pages = {729--746},
     year = {2008},
     publisher = {EDP Sciences},
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     doi = {10.1051/ita:2007060},
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Séébold, Patrice. Look and Say Fibonacci. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 4, pp. 729-746. doi: 10.1051/ita:2007060

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