Bounded and unbounded behavior for area-preserving rational pseudo-rotations
Bounded and unbounded behavior for area-preserving rational pseudo-rotations
A rational pseudo-rotation f of the torus is a homeomorphism homotopic to the identity with a rotation set consisting of a single vector v of rational coordinates. We give a classification for rational pseudo-rotations with an invariant measure of full support, in terms of the deviations from the constant rotation …