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Reduced dynamical systems

Published online by Cambridge University Press:  26 May 2020

LUKA BOC THALER
Affiliation:
Dipartimento Di Matematica, Università di Roma ‘Tor Vergata’, Italy email [email protected]
UROŠ KUZMAN
Affiliation:
Faculty of Mathematics and Physics, University of Ljubljana, Slovenia Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia email [email protected]

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.

Type
Original Article
Copyright
© The Author(s) 2020. Published by Cambridge University Press

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