Jörg M. Thuswaldner

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math.NT2025

Addition Automata and Attractors of Digit Systems Corresponding to Expanding Rational Matrices

Anjelo Gabriel R. Cruz, Manuel Joseph C. Loquias, JÃ¶rg M. Thuswaldner

Let $A$ be an expanding $2 \times 2$ matrix with rational entries and $Z^{2} [A]$ be the smallest $A$ -invariant $Z$ -module containing $Z^{2}$ . Let $\mathcal{D…

math.NT2024

A finiteness condition for complex continued fraction algorithms

It is desirable that a given continued fraction algorithm is simple in the sense that the possible representations can be characterized in an easy way. In this context the so-calle…