Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 22, No. 1, pp. 19-25 (2006)

Basic properties of shift radix systems

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

Niigata University, Japan; National Instruments Europe Kft, Hungary; Düsseldorf, Germany; University of Debrecen, Hungary; Leoben University, Austria;

Abstract: Certain dynamical systems on the set of integer vectors are introduced and their basic properties are described. Applications to beta-expansions and canonical number systems reveal unexpected relations between different radix representation concepts.

Keywords: Beta expansion, canonical number system, dynamical system, Pisot number, radix representation.

Classification (MSC2000): 11A63

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