Comptes Rendus
no. 8
Dynamical Systems
Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”
Bilel Selmi1
1Analysis, Probability and Fractals Laboratory: LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000-Monastir, Tunisia
Comptes Rendus. Mathématique, Volume 358 (2020) no. 8, p. 939
complements On the Billingsley dimension of Birkhoff average in the countable symbolic space

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 ℕ ℕ , 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
Copyrights: The authors retain unrestricted copyrights and publishing rights
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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

[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 | MR | DOI | 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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