Complex dynamics with focus on the real parts

2013/10/17 by John Erik Fornæss, Fornaess, John Erik, Han Peters +1
Mathematics · Physics and Astronomy · #37F10 #Chaos control and synchronization #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1310.4673

openalex publication_date 2013/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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