Reduced dynamical systems
arXiv:1902.04192 · doi:10.1017/etds.2020.31
Abstract
We consider the dynamics of complex rational maps on the Riemann sphere. We prove that, after reducing their orbits to a fixed number of positive values representing the Fubini-Study distances between finitely many initial elements of the orbit and the origin, ergodic properties of the rational map are preserved.
V2: Minor corrections. To appear in Ergodic Theory and Dynamical Systems