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The growth rate and dimension theory of beta-expansions

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Baker, S. (2012) The growth rate and dimension theory of beta-expansions. Fundamenta Mathematicae, 219 (3). pp. 271-285. ISSN 1730-6329

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To link to this item DOI: 10.4064/fm219-3-6

Abstract/Summary

In a recent paper of Feng and Sidorov they show that for β∈(1,(1+5√)/2) the set of β-expansions grows exponentially for every x∈(0,1/(β−1)). In this paper we study this growth rate further. We also consider the set of β-expansions from a dimension theory perspective.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:46857
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