The notion of tameness of a dynamical system is closely related to topological entropy. Roughly spoken, if a system is tame then it has very low complexity and shows an absence of certain independence phenomena (as they are characteristic of chaotic systems). We show that if a minimal system is tame, then it is 'almost' a group rotation (it has a group rotation as a factor, where the factor map is invertible except on a set of measure zero).
The presented results are closely related to the topic of Lino Haupts previous talk in our seminar.
Contact: Tobias Jäger