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On the geometry of simply connected wandering domains (2012.13284v3)
Published 24 Dec 2020 in math.CV and math.DS
Abstract: We study the geometry of simply connected wandering domains for entire functions and we prove that every bounded connected regular open set, whose closure has a connected complement, is a wandering domain of some entire function. In particular such domain can be realized as an escaping or an oscillating wandering domain. As a consequence we obtain that every Jordan curve is the boundary of a wandering Fatou component of some entire function.