Rotating an interval and a circle

Academic Article


  • We compare periodic orbits of circle rotations with their counterparts for interval maps. We prove that they are conjugate via a map of modality larger by at most 2 than the modality of the interval map. The proof is based on observation of trips of inhabitants of the Green Islands in the Black Sea. © 1999 American Mathematical Society.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Blokh A
  • Start Page

  • 63
  • End Page

  • 78
  • Volume

  • 351
  • Issue

  • 1