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.

Bibliographic Details
Main Author: Selmi, Bilel
Format: Article
Language:English
Published: Académie des sciences 2020-12-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.116/
_version_ 1827785316311760896
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