Periodicity, Transitivity and Distality of Real Projective Transformations.

Abstract

This study investigates the dynamical properties of real projective transformations from a topological viewpoint. We study properties like periodicity, topological mixing, topological transitivity, distality and proximality. Regarding periodicity, we give a complete characterisation of the sets of periods. We show that projective transformations are not topologically mixing and that it is only the isometries among them that are distal.