3 citations · 5 across the 6 of their papers we have counts for
6 papers
Farey graphs and geodesic expansions of complex continued fractions
Hitoshi Nakada, Rie Natsui, Jörg Thuswaldner
We discuss complex Farey graphs for the Euclidean imaginary quadratic number fields , . We study hyperbolic versions of A. Schmidt's F…
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,…
Measure and dimension theory of permeable sets and its applications to fractals
Gunther Leobacher, Tapio Rajala, Alexander Steinicke +1
We study {\it permeable} sets. These are sets \(Θ\subset \mathbb{R}^d\) which have the property that each two points \(x,y\in \mathbb{R}^d\) can be connected by a short path \(γ\)…
Distribution results on polynomials with bounded roots
Peter Kirschenhofer, Jörg Thuswaldner
For the well-known Schur-Cohn region consists of all -dimensional vectors corresponding to monic polynomials…
Patterns in rational base number systems
Johannes F. Morgenbesser, Wolfgang Steiner, Jörg Thuswaldner
Number systems with a rational number as base have gained interest in recent years. In particular, relations to Mahler's 3/2-problem as well as the Josephus problem have…
Similar dissection of sets
Shigeki Akiyama, Jun Luo, Ryotaro Okazaki +2
In 1994, Martin Gardner stated a set of questions concerning the dissection of a square or an equilateral triangle in three similar parts. Meanwhile, Gardner's questions have been…