Distribution of frequencies of digits via multifractal analysis
type: Item
instance of: scholarly article
title: Distribution of frequencies of digits via multifractal analysis
zbMATH Open document ID: 1027.11055
DOI: 10.1016/S0022-314X(02)00003-3
author: Luís Barreira
author: Benoit Saussol
author: Jörg Schmeling
published in: Journal of Number Theory
publication date: 2003-04-02T00:00:00Z
review text: Unifying classical results of Borel, Besicovitch, Eggleston, and Billingsley in several directions, the authors study the Hausdorff dimension of a large class of sets in the real line defined in terms of the distribution of frequencies of digits for the representation in some integer base. The methods are based on recent results concerning the multifractal analysis of dynamical systems and often lead to explicit expressions for the Hausdorff dimension.
Mathematics Subject Classification ID: 11K55
Mathematics Subject Classification ID: 11A63
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 37C45
zbMATH DE Number: 1891450
zbMATH Keywords: frequencies of digits
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: multifractal analysis
reviewed by: Harald Rindler
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1891450