Transcendental Semigroup that has Simply Connected Fatou Components

2018/04/04 by Subedi, Bishnu Hari, Singh, Ajaya
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1804.01213

Abstract

We prove that there exists a non-trivial transcendental semigroup S such that the wandering (or pre-periodic or periodic) components of Fatou set F(S) has at least a simply connected domain D.

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