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math.CO2018★ 1 cited
Formal Intercept of Sturmian words
Caius Wojcik
We give a combinatorial definition of the second parameter describing Sturmian words, that we call formal intercept, as an infinite Ostrowski expansion. We recall the well-known pr…
math.CO2018★ 2 cited
On a new conjecture about super-monochromatic factorisations and ultimate periodicity
Caius Wojcik
We study a conjecture linking ultimate periodicity of infnite words to the existence of colorings on finite words avoiding monochromatic factorisation of suffixes, with the extra c…