43 citations · 56 across the 8 of their papers we have counts for
8 papers
Generalizations of Sturmian sequences associated with -continued fraction algorithms
Niels Langeveld, Lucía Rossi, Jörg M. Thuswaldner
Given a positive integer and irrational between zero and one, an -continued fraction expansion of is defined analogously to the classical continued fraction expansio…
Multidimensional continued fractions and symbolic codings of toral translations
Valérie Berthé, Wolfgang Steiner, Jörg M. Thuswaldner
It has been a long standing problem to find good symbolic codings for translations on the -dimensional torus that enjoy the beautiful properties of Sturmian sequences like low f…
The -adic Pisot conjecture on two letters
Valérie Berthé, Milton Minervino, Wolfgang Steiner +1
We prove an extension of the well-known Pisot substitution conjecture to the -adic symbolic setting on two letters. The proof relies on the use of Rauzy fractals and on the fact…
Salem numbers from a class of star-like trees
Horst Brunotte, Jörg Thuswaldner
We study the Coxeter polynomials associated with certain star-like trees. In particular, we exhibit large Salem factors of these polynomials and give convergence properties of thei…
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…
Self-affine Manifolds
Gregory R. Conner, Jörg M. Thuswaldner
This paper studies closed 3-manifolds which are the attractors of a system of finitely many affine contractions that tile . Such attractors are called self-affine til…