Shigeki Akiyama: Shift radix system, an intersection of symbolic dynamics and number systems

This is a joint work with Horst Brunotte, Attila Pethő and Jörg Thuswaldner.

Shift Radix System (SRS) is a simple and deterministic algorithmn on the lattice $\mathbb{Z}^d$, which could be considered as a generalization of several important number systems, including canonical number systems and $\beta$-expansions. In this talk, presumably located after the introduction of H.Brunotte, I will explain some important technique to know the shape of SRS regions and several open questions.

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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