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Dimension of Besicovitch-Eggleston sets in countable symbolic space
Abstract : This paper is mainly concerned with Hausdorff dimensions of Besicovitch-Eggleston subsets in countable symbolic space. A notable point is that the dimension values possess a universal lower bound depending only on the underlying metric. As a consequence of the main results, we obtain Hausdorff dimension formulae for sets of real numbers with prescribed digit frequencies in their Luroth expansions.
https://hal-upec-upem.archives-ouvertes.fr/hal-00693023
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Submitted on : Tuesday, May 1, 2012 - 7:34:22 PM
Last modification on : Friday, October 8, 2021 - 4:28:04 PM
Contributor : Admin Lama Connect in order to contact the contributor
Submitted on : Tuesday, May 1, 2012 - 7:34:22 PM
Last modification on : Friday, October 8, 2021 - 4:28:04 PM
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