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 asymptotic repetition threshold of sequences rich in palindromes
LubomÃra DvoÅáková, Karel Klouda, Edita Pelantová
The asymptotic critical exponent measures for a sequence the maximum repetition rate of factors of growing length. The infimum of asymptotic critical exponents of sequences of a ce…
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…