The Hausdorff Dimension of the Support of the Erdös Measure and Symbolic Dynamics
- 113 Downloads
Algorithm is given for computation of the Hausdorff dimension of the support of the Erdos measure for a Pisot number.
KeywordsHausdorff dimension Pisot number Erdos measure Sofic set Deterministic automaton Entropy
Mathematics Subject Classifications (2010)28D05 28D20 37B10 11K55
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)
- 4.Kean M, Smorodinsky M, Solomyak B. On the morphology of γ-expansions with deleted digits. Trans Am Math Soc. 1995;347:955–66.Google Scholar