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math.DS2017★ 5 cited
Dynamical sets whose union with infinity is connected
David J. Sixsmith
Suppose that is a transcendental entire function. In 2014, Rippon and Stallard showed that the union of the escaping set with infinity is always connected. In this paper we con…
math.CV2017
Dynamics in the Eremenko-Lyubich class
David J. Sixsmith
The study of the dynamics of polynomials is now a major field of research, with many important and elegant results. The study of entire functions that are not polynomials -- in oth…