Bowen Lemma in the Countable Symbolic Space

Bowen Lemma in the Countable Symbolic Space

We consider the sets of quasi-regular points in the countable symbolic space. We measure the sizes of the sets by Billingsley-Hausdorff dimension defined by Gibbs measures. It is shown that the dimensions of those sets, always bounded from below by the convergence exponent of the Gibbs measure, are...

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Bibliographic Details
Main Authors: Mingtian Li, Jihua Ma
Format: Article
Language:English
Published: MDPI AG 2017-10-01
Series:Entropy
Subjects:
measure theoretic entropy
Gibbs measure
Hausdorff dimension
symbolic dynamical system
Bowen Lemma
quasi-regular point
Online Access:https://www.mdpi.com/1099-4300/19/10/532

Internet

https://www.mdpi.com/1099-4300/19/10/532

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