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Divergence points and normal numbers

Bisbas, Antonis; Snigireva, Nina

Description

In Olsen and Winter (J Lond Math Soc 67(2):103-122, 2003) and Baek et al. (Advan Math 214:267-287, 2007) the authors have introduced the notion of "normal" and "non-normal" points of a self-similar set as a main tool for studying the Hausdorff and the packing dimensions of a set of divergence points of self-similar measures. In this paper we will extend the results about the Hausdorff and the packing dimensions of "non-normal" points of a self-similar set in a point of view of Bisbas (Bulletin...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/67330
Source: Monatshefte fur Mathematik
DOI: 10.1007/s00605-011-0289-1

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