The growth rate and dimension theory of beta-expansions
Simon Baker
Fundamenta Mathematicae, Tome 219 (2012), p. 271-285 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:282809 
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Simon Baker. The growth rate and dimension theory of beta-expansions. Fundamenta Mathematicae, Tome 219 (2012) pp. 271-285. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm219-3-6/