no. 8
Systèmes dynamiques
Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”
Selmi, Bilel1
1 Analysis, Probability and Fractals Laboratory: LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000-Monastir, Tunisia
Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, p. 939.
complète 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.

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Révisé le :
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DOI : 10.5802/crmath.116
Selmi, Bilel 1

1 Analysis, Probability and Fractals Laboratory: LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000-Monastir, Tunisia 
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Selmi, Bilel. Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”. Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, p. 939. doi : 10.5802/crmath.116. http://www.numdam.org/articles/10.5802/crmath.116/

[1] Attia, Najmeddine; Selmi, Bilel 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] Fan, Ai-Hua; Li, Ming-Tian; Ma, Ji-Hua 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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