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math.CO2023★ 1 cited
Monochromatic arithmetic progressions in automatic sequences with group structure
Ibai Aedo, Uwe Grimm, Neil Mañibo +2
We determine asymptotic growth rates for lengths of monochromatic arithmetic progressions in certain automatic sequences. In particular, we look at (one-sided) fixed points of aper…
math.CO2022
Catalan numbers as discrepancies for a family of substitutions on infinite alphabets
Dirk Frettlöh, Alexey Garber, Neil Mañibo
In this work, we consider a class of substitutions on infinite alphabets and show that they exhibit a growth behaviour which is impossible for substitutions on finite alphabets. Wh…