On orbits of irrational rotations

Akhtam Dzhalilov

Abstract

We describe combinatorial and metric properties of orbits of irrational rotations of the circle and their relation to continued fraction expansions.

Authors: A. Dzhalilov, A. Begmatov

Keywords

Rotations

Cite this paper

Cite this article

@article{on_orbits_of_irrational_rotations,
  author    = {Akhtam Dzhalilov},
  title     = {On orbits of irrational rotations},
  journal   = {Uzbek Mathematical Journal, No. 2},
  year      = {2016},
  pages     = {9—16},
}