Meromorphic functions with linearly distributed values and Julia sets of rational functions

Name: Work Video:
Duration: 3 min 30 s
Description: If the preimage of a four-point set under a meromorphic function belongs to the real line, then the image of the real line is contained in a circle in the Riemann sphere. We include an application of this result to holomorphic dynamics: if the Julia set of a rational function is contained in a smooth curve, then it is contained in a circle.
Walter Bergweiler; Alexandre Erëmenko
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