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.
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.
Mots clés : Logarithmic frequency, morphic sequences, automatic sequences
@article{JTNB_2008__20_2_227_0, author = {Bell, Jason P.}, 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}, zbl = {1163.11020}, mrnumber = {2477502}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jtnb.625/} }
TY - JOUR AU - Bell, Jason P. 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 - http://www.numdam.org/articles/10.5802/jtnb.625/ DO - 10.5802/jtnb.625 LA - en ID - JTNB_2008__20_2_227_0 ER -
Bell, Jason P. Logarithmic frequency in morphic sequences. Journal de théorie des nombres de Bordeaux, Tome 20 (2008) no. 2, pp. 227-241. doi : 10.5802/jtnb.625. http://www.numdam.org/articles/10.5802/jtnb.625/
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