Geodesic
The growth rate and dimension theory of beta-expansions
Simon Baker1
1 School of Mathematics The University of Manchester Oxford Road Manchester, M13 9PL, UK
Fundamenta Mathematicae, Tome 219 (2012) no. 3, pp. 271-285.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In a recent paper of Feng and Sidorov they show that for $\beta\in(1,(1+\sqrt{5})/2)$ the set of $\beta$-expansions grows exponentially for every $x\in(0,1/(\beta-1))$. In this paper we study this growth rate further. We also consider the set of $\beta$-expansions from a dimension theory perspective.
DOI : 10.4064/fm219-3-6
Keywords: recent paper feng sidorov beta sqrt set beta expansions grows exponentially every beta paper study growth rate further consider set beta expansions dimension theory perspective

Simon Baker 1

1 School of Mathematics The University of Manchester Oxford Road Manchester, M13 9PL, UK 
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Simon Baker. The growth rate and dimension theory of beta-expansions. Fundamenta Mathematicae, Tome 219 (2012) no. 3, pp. 271-285. doi : 10.4064/fm219-3-6. http://geodesic.mathdoc.fr/articles/10.4064/fm219-3-6/

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