For an extensive range of infinite words, and the associated symbolic dynamical systems, we compute, together with the usual language complexity function counting the finite words, the minimal and maximal complexity functions we get by replacing finite words by finite patterns, or words with holes.
@article{ITA_2012__46_1_67_0, author = {Ferenczi, S\'ebastien and Hubert, Pascal}, title = {Three complexity functions}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, volume = {46}, year = {2012}, pages = {67-76}, doi = {10.1051/ita/2011126}, mrnumber = {2904961}, zbl = {1271.37012}, language = {en}, url = {http://dml.mathdoc.fr/item/ITA_2012__46_1_67_0} }
Ferenczi, Sébastien; Hubert, Pascal. Three complexity functions. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 46 (2012) pp. 67-76. doi : 10.1051/ita/2011126. http://gdmltest.u-ga.fr/item/ITA_2012__46_1_67_0/
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