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 $\mathbb{N}^{\mathbb{N}}$.

Bibliographic Details
Main Authors: Attia, Najmeddine, Selmi, Bilel
Format: Article
Language:English
Published: Académie des sciences 2020-07-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.21/

Similar Items