Translation numbers define generators of $F_k^{+}\to {\text{Homeo}}_{+}({\mathbb{S}}^1)$

Tatiana Golenishcheva-Kutuzova, Anton Gorodetski, Victor Kleptsyn +1

We consider a minimal action of a finitely generated semigroup by homeomorphisms of a circle, and show that the collection of translation numbers of individual elements completely…