Comptes Rendus
Dynamical Systems
On the Billingsley dimension of Birkhoff average in the countable symbolic space
Comptes Rendus. Mathématique, Volume 358 (2020) no. 3, pp. 255-265.

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 .

Received:
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Accepted:
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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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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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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