A complementary proof of Baker's theorem of completely invariant components for transcendental entire functions

2018/03/13 by Domínguez, Patricia, Sienra, Guillermo
#30D05 #37F45 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1803.04598

Abstract

Baker proved that for transcendental entire functions there is at most one completely invariant component of the Fatou set. It was observed by Julien Duval that there is a missing case in Baker's proof. In this article we follow Baker's ideas and give some alternative arguments to establish the result.

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