Séminaires à venir

We study the notion of openness of shifts transformations given by semigroup actions. In 1966 Parry proved that the only subshifts where the shift is a non-invertible open map are SFTs. We showed a similar result for any semigroup actions, introducing the notion of synchronizing sets and study some applications, such as the existence of periodic points. We also discuss some interesting examples on , , and free semigroups. This is a joint work with Sebastian Donoso and Mattheiu Sablik.