Rotation orbits and the Farey tree
Lisa R. Goldberg, Charles P. Tresser · Ergodic Theory and Dynamical Systems · 1996
Abstract An α-rotation orbit for a self-map of the circle is an orbit whose cyclic order on the circle is the same as for any orbit of rotation by a. In this paper, we classify sets which are minimal sets comprised of a-rotation orbits for degree d αself-coverings of the circle.