The growth rate and dimension theory of beta-expansions


Autoria(s): Baker, Simon
Data(s)

2012

Resumo

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.

Formato

text

Identificador

http://centaur.reading.ac.uk/46857/1/The%20growth%20rate%20and%20dimension%20theory%20of%20beta%20expansions%28Fundamenta%20Mathematicae%29.pdf

Baker, S. <http://centaur.reading.ac.uk/view/creators/90006902.html> (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 <http://dx.doi.org/10.4064/fm219-3-6>

Idioma(s)

en

Relação

http://centaur.reading.ac.uk/46857/

creatorInternal Baker, Simon

10.4064/fm219-3-6

Tipo

Article

PeerReviewed