On the Billingsley dimension of Birkhoff average in the countable symbolic space
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 $\mathbb{N}^{\mathbb{N}}$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.21/ |
| _version_ | 1797651532506726400 |
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| author | Attia, Najmeddine Selmi, Bilel |
| author_facet | Attia, Najmeddine Selmi, Bilel |
| author_sort | Attia, Najmeddine |
| collection | DOAJ |
| description | 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 $\mathbb{N}^{\mathbb{N}}$. |
| first_indexed | 2024-03-11T16:17:10Z |
| format | Article |
| id | doaj.art-4be62f98307c49ee872762869cc6e460 |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:10Z |
| publishDate | 2020-07-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-4be62f98307c49ee872762869cc6e4602023-10-24T14:19:04ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692020-07-01358325526510.5802/crmath.2110.5802/crmath.21On the Billingsley dimension of Birkhoff average in the countable symbolic spaceAttia, Najmeddine0Selmi, Bilel1Faculty of sciences of Monastir, Department of mathematics, 5000-Monastir, TunisiaFaculty of sciences of Monastir, Department of mathematics, 5000-Monastir, TunisiaWe 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 $\mathbb{N}^{\mathbb{N}}$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.21/ |
| spellingShingle | Attia, Najmeddine Selmi, Bilel On the Billingsley dimension of Birkhoff average in the countable symbolic space Comptes Rendus. Mathématique |
| title | On the Billingsley dimension of Birkhoff average in the countable symbolic space |
| title_full | On the Billingsley dimension of Birkhoff average in the countable symbolic space |
| title_fullStr | On the Billingsley dimension of Birkhoff average in the countable symbolic space |
| title_full_unstemmed | On the Billingsley dimension of Birkhoff average in the countable symbolic space |
| title_short | On the Billingsley dimension of Birkhoff average in the countable symbolic space |
| title_sort | on the billingsley dimension of birkhoff average in the countable symbolic space |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.21/ |
| work_keys_str_mv | AT attianajmeddine onthebillingsleydimensionofbirkhoffaverageinthecountablesymbolicspace AT selmibilel onthebillingsleydimensionofbirkhoffaverageinthecountablesymbolicspace |