Let Σ be the set of sequences of elements of endowed with the usual ultrametric . Let define
Soit Σ l'ensemble des suites d'éléments de muni de l'ultramétrique usuelle . Posons
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10.1016/j.crma.2006.05.005
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Peng, Li 1
@article{CRMATH_2006__343_2_129_0, author = {Peng, Li}, title = {Dimension of sets of sequences defined in terms of recurrence of their prefixes}, journal = {Comptes Rendus. Math\'ematique}, pages = {129--133}, publisher = {Elsevier}, volume = {343}, number = {2}, year = {2006}, doi = {10.1016/j.crma.2006.05.005}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2006.05.005/} }
TY - JOUR AU - Peng, Li TI - Dimension of sets of sequences defined in terms of recurrence of their prefixes JO - Comptes Rendus. Mathématique PY - 2006 SP - 129 EP - 133 VL - 343 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2006.05.005/ DO - 10.1016/j.crma.2006.05.005 LA - en ID - CRMATH_2006__343_2_129_0 ER -
%0 Journal Article %A Peng, Li %T Dimension of sets of sequences defined in terms of recurrence of their prefixes %J Comptes Rendus. Mathématique %D 2006 %P 129-133 %V 343 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2006.05.005/ %R 10.1016/j.crma.2006.05.005 %G en %F CRMATH_2006__343_2_129_0
Peng, Li. Dimension of sets of sequences defined in terms of recurrence of their prefixes. Comptes Rendus. Mathématique, Volume 343 (2006) no. 2, pp. 129-133. doi : 10.1016/j.crma.2006.05.005. http://archive.numdam.org/articles/10.1016/j.crma.2006.05.005/
[1] The Hausdorff dimension of recurrent sets in symbolic spaces, Nonlinearity, Volume 14 (2001) no. 1, pp. 81-85
[2] Entropy and data compression schemes, IEEE Trans. Inform. Theory, Volume 39 (1993) no. 1, pp. 78-83
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