Advanced search

The growth rate and dimension theory of beta-expansions

Download
[thumbnail of The growth rate and dimension theory of beta expansions(Fundamenta Mathematicae).pdf]
Text - Accepted Version
· Restricted to Repository staff only
· The Copyright of this document has not been checked yet. This may affect its availability.
Restricted to Repository staff only
Advice

Please see our End User Agreement.

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

Tools
Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email
Lists

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

Altmetric Badge

Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/46857
Identification Number/DOI 10.4064/fm219-3-6
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Download/View statistics View download statistics for this item
Deposit Details

University Staff: Request a correction | Centaur Editors: Update this record

Search Google Scholar