A Ramsey Characterisation of Eventually Periodic Words

Maria-Romina Ivan, Imre Leader, Luca Q. Zamboni

A factorisation $x=u_1{u}_2\cdots$ of an infinite word $x$ on alphabet $X$ is called `monochromatic', for a given colouring of the finite words $X^{\ast }$ on alphabet $X$, if each $u_…