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Generalized radix representations and dynamical systems. I

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty Of Science, Niigata University, Ikarashi 2-8050, Niigata 950-2181, Japan

    Shigeki Akiyama

  2. National Instruments Europe Kft, H-4031 Debrecen, Határ u. 1/A, Hungary

    Tibor Borbély

  3. Haus-Endt-Strasse 88, D-40593 Düsseldorf, Germany

    Horst Brunotte

  4. Department of Computer Science, University of Debrecen, P.O. Box 12, H-4010 Debrecen, Hungary

    Attila Pethő

  5. Department of Mathematics and Statistics, Leoben University, Franz-Josef-Strasse 18, A-8700 Leoben, Austria

    Jörg M. Thuswaldner

Authors
  1. Shigeki Akiyama
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  2. Tibor Borbély
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  3. Horst Brunotte
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  4. Attila Pethő
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  5. Jörg M. Thuswaldner
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Akiyama, S., Borbély, T., Brunotte, H. et al. Generalized radix representations and dynamical systems. I. Acta Math Hung 108, 207–238 (2005). https://doi.org/10.1007/s10474-005-0221-z

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

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