43 citations · 45 across the 4 of their papers we have counts for
6 papers
Open dynamical systems in topologically expansive decreasing Lorenz maps
Yiming Ding, Wolfgang Steiner, Yun Sun
We develop a parity-sensitive admissibility theory for topologically expansive decreasing Lorenz maps. By embedding them into the standard circle map , we realize every dec…
Transcendence of dendric beta-expansions with pure discrete spectrum
Jihyuk Seo, Wolfgang Steiner
We prove the transcendence of numbers that have -expansions (in algebraic bases ) belonging to dendric shifts with pure discrete spectrum, under combinatorial conditions on t…
Hausdorff dimension of double base expansions and binary shifts with a hole
Jian Lu, Wolfgang Steiner, Yuru Zou
For two real bases , a binary sequence is the -expansion of the number \[ π_{q_0,q_1}(i_1 i_2 \cdots) = \sum_{k=1}^\inf…
Nonstationary Markov Partitions and Multidimensional Continued Fraction Algorithms
Pierre Arnoux, Valérie Berthé, Milton Minervino +2
It is well known from results of Sina\uı and Bowen that a hyperbolic toral automorphism admits a Markov partition. Our aim is to generalize this concept to the nonstationary case,…
A dynamical view of Tijdeman's solution of the chairman assignment problem
Valérie Berthé, Olivier Carton, Nicolas Chevallier +2
In 1980, R. Tijdeman provided an on-line algorithm that generates sequences over a finite alphabet with minimal discrepancy, that is, such that the occurrence of each letter optima…
Geometry, dynamics, and arithmetic of -adic shifts
Valérie Berthé, Wolfgang Steiner, Jörg Thuswaldner
This paper studies geometric and spectral properties of -adic shifts and their relation to continued fraction algorithms. These shifts are symbolic dynamical systems obtained by…