Translation numbers define generators of f-k(+) -> Homeo(+) (S-1)
2014 (English)In: Moscow Mathematical Journal, ISSN 1609-3321, Vol. 14, no 2, 291-308 p.Article in journal (Refereed) Published
We consider a minimal action of a finitely generated semigroup by homeomorphisms of the circle, and show that the collection of translation numbers of individual elements completely determines the set of generators (up to a common continuous change of coordinates). One of the main tools used in the proof is the synchronization properties of random dynamics of circle homeomorphisms: Antonov's theorem and its corollaries.
Place, publisher, year, edition, pages
2014. Vol. 14, no 2, 291-308 p.
Groups of homeomorphisms of the circle, rotation number, translation number, synchronization
IdentifiersURN: urn:nbn:se:kth:diva-155501ISI: 000342789300006OAI: oai:DiVA.org:kth-155501DiVA: diva2:762097
QC 201411102014-11-102014-11-062014-11-10Bibliographically approved