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math.DS2023
Forward limit sets of semigroups of substitutions
Ibai Aedo, Uwe Grimm, Ian Short
We introduce the forward limit set of a semigroup generated by a family of substitutions of a finite alphabet, which typically coincides with the set of all possible s-adic…
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…