Systèmes dynamiques
On the Billingsley dimension of Birkhoff average in the countable symbolic space
Comptes Rendus. Mathématique, Tome 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 ${ℕ}^{ℕ}$.

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DOI : https://doi.org/10.5802/crmath.21
Classification : 28A80,  37A05,  37A35,  37B10,  37C45
@article{CRMATH_2020__358_3_255_0,
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},
}
Najmeddine Attia; Bilel Selmi. On the Billingsley dimension of Birkhoff average in the countable symbolic space. Comptes Rendus. Mathématique, Tome 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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