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Reduced dynamical systems
Published online by Cambridge University Press: 26 May 2020
Abstract
We consider the dynamics of complex rational maps on $\widehat{\mathbb{C}}$. 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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- © The Author(s) 2020. Published by Cambridge University Press
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