On fractal faithfulness and fine fractal properties of random variables with independent <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mrow><mi mathvariant="italic">Q</mi></mrow><mrow><mo>∗</mo></mrow></msup></math>-digits
We develop a new technique to prove the faithfulness of the Hausdorff–Besicovitch dimension calculation of the family $\varPhi ({Q}^{\ast })$ of cylinders generated by ${Q}^{\ast }$-expansion of real numbers. All known sufficient conditions for the family $\varPhi ({Q}^{\ast })$ to be faithful for t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
VTeX
2016-06-01
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| Series: | Modern Stochastics: Theory and Applications |
| Subjects: | |
| Online Access: | https://vmsta.vtex.vmt/doi/10.15559/16-VMSTA55 |