Horst Brunotte: Basic properties of shift radix systems

This is a joint work with Shigeki Akiyama, Tibor Borbély, Attila Pethő and Jörg Thuswaldner.

Certain dynamical systems on the set of integer vectors ${\mathbb{Z}}^d$ are introduced and their basic properties are described. Applications to Pisot numbers and canonical number systems reveal unexpected relations between different radix representation concepts.

Bibliography

1

Shigeki Akiyama, T. Borbély, Horst Brunotte, Attila Pethő, and Jörg M. Thuswaldner.
Generalized radix representations and dynamical systems I.
(to appear in Acta Math. Hungarica 2005).

2

Shigeki Akiyama, Horst Brunotte, Attila Pethő, and Jörg M. Thuswaldner.
Generalized radix representations and dynamical systems II.
(manuscript).

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