Appendix to the paper “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 $\mathbb{N}^{\mathbb{N}}$, defined by Gibbs measure.
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Format: | Article |
Language: | English |
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Académie des sciences
2020-12-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.116/ |
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author | Selmi, Bilel |
author_facet | Selmi, Bilel |
author_sort | Selmi, Bilel |
collection | DOAJ |
description | 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 $\mathbb{N}^{\mathbb{N}}$, defined by Gibbs measure. |
first_indexed | 2024-03-11T16:17:29Z |
format | Article |
id | doaj.art-9d01cf39960d430a933fb4317b224afe |
institution | Directory Open Access Journal |
issn | 1778-3569 |
language | English |
last_indexed | 2024-03-11T16:17:29Z |
publishDate | 2020-12-01 |
publisher | Académie des sciences |
record_format | Article |
series | Comptes Rendus. Mathématique |
spelling | doaj.art-9d01cf39960d430a933fb4317b224afe2023-10-24T14:18:50ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692020-12-01358893993910.5802/crmath.11610.5802/crmath.116Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”Selmi, Bilel0Analysis, Probability and Fractals Laboratory: LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000-Monastir, TunisiaThis appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space $\mathbb{N}^{\mathbb{N}}$, defined by Gibbs measure.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.116/ |
spellingShingle | Selmi, Bilel Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space” Comptes Rendus. Mathématique |
title | Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space” |
title_full | Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space” |
title_fullStr | Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space” |
title_full_unstemmed | Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space” |
title_short | Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space” |
title_sort | appendix to the paper on the billingsley dimension of birkhoff average in the countable symbolic space |
url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.116/ |
work_keys_str_mv | AT selmibilel appendixtothepaperonthebillingsleydimensionofbirkhoffaverageinthecountablesymbolicspace |