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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…