Generalized radix representations and dynamical systems. I

Shigeki Akiyama; Tibor Borbély; Horst Brunotte; Attila Pethő; Jörg M. Thuswaldner

doi:10.1007/s10474-005-0221-z

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Acta Mathematica Hungarica

Volume/Issue:: Volume 108: Issue 3

Generalized radix representations and dynamical systems. I

Authors: Shigeki Akiyama¹, Tibor Borbély², Horst Brunotte³, Attila Pethő⁴, and Jörg M. Thuswaldner⁵

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¹ Department of Mathematics, Faculty Of Science, Niigata University Ikarashi 2-8050, Niigata 950-2181, Japan
² National Instruments Europe Kft H-4031 Debrecen, Határ u. 1/A, Hungary
³ Haus-Endt-Strasse 88, D-40593 Düsseldorf, Germany
⁴ Department of Computer Science, University of Debrecen P.O. Box 12, H-4010 Debrecen, Hungary
⁵ Department of Mathematics and Statistics, Leoben University Franz-Josef-Strasse 18, A-8700 Leoben, Austria

DOI:: https://doi.org/10.1007/s10474-005-0221-z

Page Count:: 207–238

Publication Date:: 01 Aug 2005

Online Publication Date:: 19 Jul 2005

Article Category:: Research Article

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Summary We are concerned with families of dynamical systems which are related to generalized radix representations. The properties of these dynamical systems lead to new results on the characterization of bases of Pisot number systems as well as canonical number systems.