On balanced sequences and their critical exponent

F Dolce, L Dvořáková, E Pelantová - Theoretical Computer Science, 2023 - Elsevier
We study aperiodic balanced sequences over finite alphabets. A sequence v of this type is
fully characterised by a Sturmian sequence u and two constant gap sequences y and y …

The asymptotic repetition threshold of sequences rich in palindromes

L Dvořáková, K Klouda, E Pelantová - arXiv preprint arXiv:2409.06849, 2024 - arxiv.org
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 …