W. Steiner

activity

20062023

most citedBeta-expansions, natural extensions and multiple tilings associated with Pisot units

29 citations · 151 across the 31 of their papers we have counts for

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13 papers · 1 filter

math.NT2022

Unique double base expansions

Vilmos Komornik, Wolfgang Steiner, Yuru Zou

For two real bases $q_{0}, q_{1} > 1$ , we consider expansions of real numbers of the form $\sum_{k = 1}^{\infty} i_{k} / (q_{i_{1}} q_{i_{2}} \dots q_{i_{k}})$ with $i_{k} \in {0, 1}$ , which we call…

math.NT2021

Rational self-affine tiles associated to standard and nonstandard digit systems

Lucía Rossi, Wolfgang Steiner, Jörg M. Thuswaldner

We consider digit systems $(A, D)$ , where $A \in Q^{n \times n}$ is an expanding matrix and the digit set $D$ is a suitable subset of $Q^{n}$ . To…

math.NT2017

A remarkable sequence related to $π$ and $2$

Wieb Bosma, Michel Dekking, Wolfgang Steiner

We prove that five ways to define entry A086377 in the On-Line Encyclopedia of Integer Sequences do lead to the same integer sequence.

math.NT2015

On the regularity of the generalised golden ratio function

Simon Baker, Wolfgang Steiner

Given a finite set of real numbers $A$ , the generalised golden ratio is the unique real number $G (A) > 1$ for which we only have trivial unique expansions in smaller base…

math.NT2013

Tilings for Pisot beta numeration

Milton Minervino, Wolfgang Steiner

For a (non-unit) Pisot number $β$ , several collections of tiles are associated with $β$ -numeration. This includes an aperiodic and a periodic one made of Rauzy fractals, a periodic…

math.NT2012

On digit patterns in expansions of rational numbers with prime denominator

Igor E. Shparlinski, Wolfgang Steiner

We show that, for any fixed $ε > 0$ and almost all primes $p$ , the $g$ -ary expansion of any fraction $m / p$ with $g cd (m, p) = 1$ contains almost all $g$ -ary strings of len…