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/
Description
Summary: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.
ISSN:1778-3569