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In the study of substitutative dynamical systems and Pisot number systems, an algebraic condition, which we call â€˜weak finitenessâ€™, plays a fundamental role. It is expected that all Pisot numbersâ€¦ (More)

The Rosen fractions form an infinite family which generalizes the nearestinteger continued fractions. In this paper we introduce a new class of continued fractions related to the Rosen fractions, theâ€¦ (More)

- ValÃ©rie BerthÃ©, Julien Cassaigne, Wolfgang Steiner
- IJAC
- 2013

The paper deals with balances and imbalances in Arnoux-Rauzy words. We provide sufficient conditions for C-balancedness, but our results indicate that even a characterization of 2-balancedâ€¦ (More)

- Shigeki Akiyama, Horst Brunotte, Attila PethÃ¶, Wolfgang Steiner
- Periodica Mathematica Hungarica
- 2006

The periodicity of sequences of integers (an)nâˆˆZ satisfying the inequalities 0 â‰¤ anâˆ’1 + Î»an + an+1 < 1 (n âˆˆ Z) is studied for real Î» with |Î»| < 2. Periodicity is proved in case Î» is the golden ratio;â€¦ (More)

- Christiane Frougny, Wolfgang Steiner
- J. Mathematical Cryptology
- 2008

Abstract For numeration systems representing real numbers and integers, which are based on Pisot numbers, we study expansions with signed digits which are minimal with respect to the absolute sum ofâ€¦ (More)

We present three simple ideas which enable to determine easily the number of return words in some infinite words. Using these ideas, we give a new and very short proof of the fact that each factor ofâ€¦ (More)

For a function from the unit interval to itself with constant slope and one discontinuity, the itineraries of the point of discontinuity are called the critical itineraries. These criticalâ€¦ (More)

- LubomÃra BalkovÃ¡, Edita PelantovÃ¡, Wolfgang Steiner
- ArXiv
- 2006

An infinite word has the property Rm if every factor has exactly m return words. Vuillon showed that R2 characterizes Sturmian words. We prove that a word satisfies Rm if its complexity function isâ€¦ (More)

- Michaela Kneissel, Paul Roschger, +4 authors Maria Teschler-Nicola
- Calcified Tissue International
- 1997

There is abundant data on cancellous bone in the aging human spine, but little relating to the growing vertebral cancellous bone in childhood and adolescence. The purpose of this study was to mapâ€¦ (More)

This paper studies geometric and spectral properties of S-adic shifts and their relation to continued fraction algorithms. These shifts are symbolic dynamical systems obtained by iterating infinitelyâ€¦ (More)