We study the logarithmic frequency of letters and words in morphic sequences and show that this frequency must always exist, answering a question of Allouche and Shallit.
Nous répondons affirmativement à une question d’Allouche et Shallit en montrant l’existence de la fréquence logarithmique des lettres et des mots dans une suite morphique.
Mots-clés : Logarithmic frequency, morphic sequences, automatic sequences
Jason P. Bell 1
@article{JTNB_2008__20_2_227_0, author = {Jason P. Bell}, title = {Logarithmic frequency in morphic sequences}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {227--241}, publisher = {Universit\'e Bordeaux 1}, volume = {20}, number = {2}, year = {2008}, doi = {10.5802/jtnb.625}, mrnumber = {2477502}, zbl = {1163.11020}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.625/} }
TY - JOUR AU - Jason P. Bell TI - Logarithmic frequency in morphic sequences JO - Journal de théorie des nombres de Bordeaux PY - 2008 SP - 227 EP - 241 VL - 20 IS - 2 PB - Université Bordeaux 1 UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.625/ DO - 10.5802/jtnb.625 LA - en ID - JTNB_2008__20_2_227_0 ER -
Jason P. Bell. Logarithmic frequency in morphic sequences. Journal de théorie des nombres de Bordeaux, Volume 20 (2008) no. 2, pp. 227-241. doi : 10.5802/jtnb.625. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.625/
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