On the Billingsley dimension of Birkhoff average in the countable symbolic space

Najmeddine Attia; Bilel Selmi

doi:10.5802/crmath.21

Systèmes dynamiques

On the Billingsley dimension of Birkhoff average in the countable symbolic space

Najmeddine Attia ¹ ; Bilel Selmi ¹

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”

Résumé

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 : 2019-07-02
Révisé le : 2020-02-14
Accepté le : 2020-02-18
Publié le : 2020-07-10

DOI : 10.5802/crmath.21

Classification : 28A80, 37A05, 37A35, 37B10, 37C45

Affiliations des auteurs :

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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     author = {Najmeddine Attia and Bilel Selmi},
     title = {On the {Billingsley} dimension of {Birkhoff} average in the countable symbolic space},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {255--265},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {3},
     year = {2020},
     doi = {10.5802/crmath.21},
     language = {en},
}

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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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