3 papers
math.CO2025
-numbers, diophantine exponent and factorisations of sturmian words
Caius Wojcik
We introduce the notion of -numbers and formal intercept of sturmian words, and derive from this study general factorisations formula for sturmian words. Sturmian words are defi…
math.CO2018
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
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…