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On the exact rate of convergence of frequencies of digits and local dimensions of multinomial measures
Published online by Cambridge University Press: 07 August 2015
Abstract
We study the Hausdorff dimensions of certain sets of non-normal numbers defined in terms of the exact rate of convergence of digits in their N-adic expansions. As an application of our results we analyse the rate of convergence of local dimensions of multinomial measures.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 159 , Issue 3 , November 2015 , pp. 387 - 403
- Copyright
- Copyright © Cambridge Philosophical Society 2015
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