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arXiv · 1902.04192

Reduced dynamical systems

Luka Boc Thaler·Uroš Kuzman
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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.

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Luka Boc Thaler, Uroš Kuzman. 2019-02-12. Reduced dynamical systems. https://doi.org/10.1017/etds.2020.31

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