Comptes Rendus
no. 3
Systèmes dynamiques
On the Billingsley dimension of Birkhoff average in the countable symbolic space
Najmeddine Attia1 ; Bilel Selmi1
1 Faculty of sciences of Monastir, Department of mathematics, 5000-Monastir, Tunisia
Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 255-265.
complété par Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”

We compute a lower bound of Billingsley–Hausdorff dimension, defined by Gibbs measure, of the level set related to Birkhoff average in the countable symbolic space ℕ ℕ .

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.21
Classification : 28A80, 37A05, 37A35, 37B10, 37C45
Najmeddine Attia 1 ; Bilel Selmi 1

1 Faculty of sciences of Monastir, Department of mathematics, 5000-Monastir, Tunisia
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Najmeddine Attia; Bilel Selmi. On the Billingsley dimension of Birkhoff average in the countable symbolic space. Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 255-265. doi : 10.5802/crmath.21. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.21/

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