[Un théorème de type Billingsley pour l'entropie de Bowen]
Pour les sous-ensembles d'un espace métrique muni d'une application continue, Bowen avait introduit une notion d'entropie. Dans cette Note nous démontrons que l'entropie de Bowen peut être déterminée par les entropies locales de mesures. Ce résultat est un analogue du théorème de Billingsley pour la dimension de Hausdorff.
For subsets of a metric space with a continuous map, Bowen introduced a notion of entropy. In this Note we show that the Bowen entropy can be determined via the local entropies of measures. This result can be considered as an analogue of Billingsley's Theorem for the Hausdorff dimension.
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@article{CRMATH_2008__346_9-10_503_0,
author = {Ma, Ji-Hua and Wen, Zhi-Ying},
title = {A {Billingsley} type theorem for {Bowen} entropy},
journal = {Comptes Rendus. Math\'ematique},
pages = {503--507},
publisher = {Elsevier},
volume = {346},
number = {9-10},
year = {2008},
doi = {10.1016/j.crma.2008.03.010},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2008.03.010/}
}
TY - JOUR AU - Ma, Ji-Hua AU - Wen, Zhi-Ying TI - A Billingsley type theorem for Bowen entropy JO - Comptes Rendus. Mathématique PY - 2008 SP - 503 EP - 507 VL - 346 IS - 9-10 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2008.03.010/ DO - 10.1016/j.crma.2008.03.010 LA - en ID - CRMATH_2008__346_9-10_503_0 ER -
%0 Journal Article %A Ma, Ji-Hua %A Wen, Zhi-Ying %T A Billingsley type theorem for Bowen entropy %J Comptes Rendus. Mathématique %D 2008 %P 503-507 %V 346 %N 9-10 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2008.03.010/ %R 10.1016/j.crma.2008.03.010 %G en %F CRMATH_2008__346_9-10_503_0
Ma, Ji-Hua; Wen, Zhi-Ying. A Billingsley type theorem for Bowen entropy. Comptes Rendus. Mathématique, Tome 346 (2008) no. 9-10, pp. 503-507. doi : 10.1016/j.crma.2008.03.010. http://www.numdam.org/articles/10.1016/j.crma.2008.03.010/
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