Complex dynamics with focus on the real part. (English) Zbl 1369.37056
Summary: 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.
MSC:
| 37F10 | Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets |
| 37A25 | Ergodicity, mixing, rates of mixing |
References:
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