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math.CO2018★ 3 cited
On arithmetic index in the generalized Thue-Morse word
Olga Parshina
Let be a positive integer. Consider an infinite word over an alphabet of cardinality . A finite word is called an arithmetic factor of if $u=w_cw…
math.CO2018
Open and closed factors of Arnoux-Rauzy words
Olga Parshina, Luca Zamboni
A finite word is called closed if its longest repeated prefix has exactly two occurrences in once as a prefix and once as a suffix. We study the function $f_x^c:\mathbb N…