Stefan Zorcic

collaborators

2 papers

math.NT2024

Beatty Sequences for a Quadratic Irrational: Decidability and Applications

Luke Schaeffer, Jeffrey Shallit, Stefan Zorcic

Let $α$ and $β$ belong to the same quadratic field. We show that the inhomogeneous Beatty sequence $(⌊ n α + β ⌋)_{n \geq 1}$ is synchronized, in the sense that there is…

math.CO2023

Power-free Complementary Binary Morphisms

Jeffrey Shallit, Arseny M. Shur, Stefan Zorcic

We revisit the topic of power-free morphisms, focusing on the properties of the class of complementary morphisms. Such morphisms are defined over a $2$ -letter alphabet, and map the…