Abstract
Algorithm is given for computation of the Hausdorff dimension of the support of the Erdos measure for a Pisot number.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bezhaeva ZI, Oseledets VI. Erdös measures, sofic measures, and Markov chains. Zap Nauch Sem POMI. 2005;326:28–47 (in Russian).
Bezhaeva ZI, Oseledets VI. Erdös measures, sofic measures, and Markov chains. J Math Sci. 2007;120:28–47.
Pollicott M, Simon K. Hausdorff dimension λ-expansions with deleted digits. Trans Am Math Soc. 1995;347:967–83.
Kean M, Smorodinsky M, Solomyak B. On the morphology of γ-expansions with deleted digits. Trans Am Math Soc. 1995;347:955–66.
Lalley Steven P. β-expansions with deleted digits for Pisot numbers β. Trans Am Math Soc. 1997;347:4355–65.
Acknowledgements
The work was supported by RFBR grant 11-01-00982. The study was carried out within “The National High School of Economics” Academic fund program in 2013–2014 (grant no. 12-01-005C)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bezhaeva, Z.I., Oseledets, V.I. The Hausdorff Dimension of the Support of the Erdös Measure and Symbolic Dynamics. J Dyn Control Syst 19, 569–573 (2013). https://doi.org/10.1007/s10883-013-9195-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10883-013-9195-2