• A
  • A
  • A
  • АБB
  • АБB
  • АБB
  • А
  • А
  • А
  • А
  • А
Обычная версия сайта

Статья

Translation numbers define generators of F+k → Homeo+(S1)

Moscow Mathematical Journal. 2014. Vol. 14. No. 2. P. 291-308.
Volk D., Kleptsyn V., Gorodetski A., Golenishcheva-Kutuzova T.

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.