Comptes Rendus
Dynamical Systems
Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”
Comptes Rendus. Mathématique, Volume 358 (2020) no. 8, p. 939.

This appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space , defined by Gibbs measure.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/crmath.116

Bilel Selmi 1

1 Analysis, Probability and Fractals Laboratory: LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000-Monastir, Tunisia
License: CC-BY 4.0
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Bilel Selmi. Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”. Comptes Rendus. Mathématique, Volume 358 (2020) no. 8, p. 939. doi : 10.5802/crmath.116. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.116/

[1] Najmeddine Attia; Bilel Selmi On the Billingsley dimension of Birkhoff average in the countable symbolic space, C. R. Math. Acad. Sci. Paris, Volume 358 (2020) no. 3, pp. 255-265 | DOI | MR | Zbl

[2] Ai-Hua Fan; Ming-Tian Li; Ji-Hua Ma Generic points of shift-invariant measures in the countable symbolic space, Math. Proc. Camb. Philos. Soc., Volume 166 (2019) no. 2, pp. 381-413 | DOI | MR | Zbl

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