On the Hausdorff dimension of generalized Besicovitch-Eggleston sets of d-tuples of numbers

Lars Ole Ronnow Olsen

doi:10.1016/S0019-3577(04)80017-X

On the Hausdorff dimension of generalized Besicovitch-Eggleston sets of d-tuples of numbers

Lars Ole Ronnow Olsen

Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give a systematic and detailed account of the Hausdorff dimensions of sets of d-tuples of numbers defined in terms of the asymptotic behaviour of the frequencies of strings of digits in their N-adic expansion.

Original language	English
Pages (from-to)	535-547
Number of pages	13
Journal	Indagationes Mathematicae
Volume	15
Issue number	4
DOIs	https://doi.org/10.1016/S0019-3577(04)80017-X
Publication status	Published - 20 Dec 2004

Keywords

SELF-SIMILAR MEASURES
DIVERGENCE POINTS

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10.1016/S0019-3577(04)80017-X

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KW - DIVERGENCE POINTS

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On the Hausdorff dimension of generalized Besicovitch-Eggleston sets of d-tuples of numbers

Abstract

Keywords

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