3 papers
cs.DM2025
Circularity and repetitiveness in non-injective DF0L systems
Herman Goulet-Ouellet, Karel Klouda, Å tÄpán Starosta
We study circularity in DF0L systems, a generalization of D0L systems. We focus on two different types of circularity, called weak and strong circularity. When the morphism is inje…
math.CO2024
The number of primitive words of unbounded exponent in the language of an HD0L-system is finite
Karel Klouda, Å tÄpán Starosta
Let be an HD0L-system. We show that there are only finitely many primitive words with the property that , for all integers , is an element of the factorial language…
math.NT2024
Periodicity of general multidimensional continued fractions using repetend matrix form
Hanka Åada, Å tÄpán Starosta, VÃtÄzslav Kala
We consider expansions of vectors by a general class of multidimensional continued fraction algorithms. If the expansion is eventually periodic, then we describe the possible struc…