J. Thuswaldner

activity

20092026

most citedRecognizability for sequences of morphisms

50 citations · 89 across the 14 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.NT2021

Rational self-affine tiles associated to standard and nonstandard digit systems

Lucía Rossi, Wolfgang Steiner, Jörg M. Thuswaldner

We consider digit systems $(A, D)$ , where $A \in Q^{n \times n}$ is an expanding matrix and the digit set $D$ is a suitable subset of $Q^{n}$ . To…

math.NT2021

Rational matrix digit systems

Jonas Jankauskas, Jörg M. Thuswaldner

Let $A$ be a $d \times d$ matrix with rational entries which has no eigenvalue $λ \in C$ of absolute value $∣ λ ∣ < 1$ and let $Z^{d} [A]$ be the smallest nontrivial $A…

math.NT2021

Weyl sums over integers with digital restrictions

Igor E. Shparlinski, Jörg M. Thuswaldner

We estimate Weyl sums over the integers with sum of binary digits either fixed or restricted by some congruence condition. In our proofs we use ideas that go back to a paper by Ban…

math.NT2021

A number system with base $- \frac{3}{2}$

Lucía Rossi, Jörg M. Thuswaldner

In the present paper we explore a way to represent numbers with respect to the base $- \frac{3}{2}$ using the set of digits ${0, 1, 2}$ . Although this number system shares several prope…

Rational self-affine tiles associated to standard and nonstandard digit systems

Rational matrix digit systems

Weyl sums over integers with digital restrictions

A number system with base −23​

A number system with base $- \frac{3}{2}$