Reduced dynamical systems
Dynamical Systems
2021-07-01 v2
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.
Cite
@article{arxiv.1902.04192,
title = {Reduced dynamical systems},
author = {Luka Boc Thaler and Uroš Kuzman},
journal= {arXiv preprint arXiv:1902.04192},
year = {2021}
}
Comments
V2: Minor corrections. To appear in Ergodic Theory and Dynamical Systems