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Complex dynamics with focus on the real part

Published online by Cambridge University Press:  21 July 2015

JOHN ERIK FORNÆSS  and
HAN PETERS
JOHN ERIK FORNÆSS
Affiliation:
Department for Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway email john.fornass@math.ntnu.no
HAN PETERS
Affiliation:
KdV Institute for Mathematics, University of Amsterdam, Science Park 105–107, 1098 XG Amsterdam, The Netherlands email h.peters@uva.nl
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Abstract

We consider the dynamics of holomorphic polynomials in $\mathbb{C}$. We show that the ergodic properties of the map can be seen already from the real parts of the orbits.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 1 , February 2017 , pp. 176 - 192
Copyright
© Cambridge University Press, 2015 

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