James Waterman (Stony Brook University): "Maverick points on the boundary of wandering domains" - June 22, 2022

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This talk is part of the LMS Scheme 3 meeting in Holomorphic Dynamics that took place at the University of Liverpool on June 22, 2022.

Abstract: Wandering domains, or wandering Fatou components, are a central object of study in the iteration of transcendental entire functions. We will introduce several basic properties of wandering domains. Moreover, focusing on behavior on the boundary of these domains, we will discuss the existence of points on the boundary of a wandering domain with accumulation behavior distinct from that of the wandering domain itself. We call such points maverick points. This is joint work with David Martí-Pete and Lasse Rempe.


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