J. Thuswaldner

most citedTopology of planar self-affine tiles with collinear digit set

1 citations · 1 across the 1 of their papers we have counts for

collaborators

4 papers

math.DS2019

On the second Lyapunov exponent of some multidimensional continued fraction algorithms

Valérie Berthé, Wolfgang Steiner, Jörg Thuswaldner

We study the strong convergence of certain multidimensional continued fraction algorithms. In particular, in the two-dimensional case, we prove that the second Lyapunov exponent of…

math.NT2019

The level of distribution of the sum-of-digits function of linear recurrence number systems

Manfred G. Madritsch, Jörg M. Thuswaldner

Let $G = (G_{j})_{j \geq 0}$ be a strictly increasing linear recurrent sequence of integers with $G_{0} = 1$ having characteristic polynomial $X^{d} - a_{1} X^{d - 1} - \dots - a_{d - 1} X - a_{d}$ . It is we…

math.NT2019

$S$ -adic sequences. A bridge between dynamics, arithmetic, and geometry

Jörg M. Thuswaldner

A Sturmian sequence is an infinite nonperiodic string over two letters with minimal subword complexity. In two papers, the first written by Morse and Hedlund in 1940 and the second…

math.GN2018★ 1 cited

Topology of planar self-affine tiles with collinear digit set

Shigeki Akiyama, Benoît Loridant, Jörg Thuswaldner

We consider the self-affine tiles with collinear digit set defined as follows. Let $A, B \in Z$ satisfy $∣ A ∣ \leq B \geq 2$ and $M \in Z^{2 \times 2}$ be an integral matri…

On the second Lyapunov exponent of some multidimensional continued fraction algorithms

The level of distribution of the sum-of-digits function of linear recurrence number systems

S-adic sequences. A bridge between dynamics, arithmetic, and geometry

Topology of planar self-affine tiles with collinear digit set

$S$ -adic sequences. A bridge between dynamics, arithmetic, and geometry