11 citations · 12 across the 3 of their papers we have counts for
3 papers
cs.DM2007★ 11 cited
Abstract numeration systems on bounded languages and multiplication by a constant
Emilie Charlier, Michel Rigo, Wolfgang Steiner
A set of integers is -recognizable in an abstract numeration system if the language made up of the representations of its elements is accepted by a finite automaton. For abs…
math.DS2007
Periodicity of certain piecewise affine planar maps
Shigeki Akiyama, Horst Brunotte, Attila Petho +1
We determine periodic and aperiodic points of certain piecewise affine maps in the Euclidean plane. Using these maps, we prove for $λ\in\{\frac{\pm1\pm\sqrt5}2,\pm\sqrt2,\pm\sqrt3\…
math.NT2007★ 1 cited
Metrical theory for -Rosen fractions
Karma Dajani, Cor Kraaikamp, Wolfgang Steiner
The Rosen fractions form an infinite family which generalizes the nearest-integer continued fractions. In this paper we introduce a new class of continued fractions related to the…