The growth rate and dimension theory of beta-expansions

• Autorzy: Simon Baker
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37C45: Dimension theory of dynamical systems
• 37A45: Relations with number theory and harmonic analysis

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 219
• Numer: 3
• Strony: 271-285

Daty

wydano

2012

Twórcy

autor

Simon Baker

• School of Mathematics, The University of Manchester, Oxford Road, Manchester, M13 9PL, UK

Identyfikatory

DOI

10.4064/fm219-3-6