Cantor sets and Julia sets

Abstract: One does not have to study much complex dynamics before coming across examples of Julia sets which are Cantor sets. It is then a natural question to ask which Cantor sets can be Julia sets? The rigidity of holomorphic maps precludes certain natural examples, and so we will ask this question in the context of uniformly quasiregular mappings with a focus on dimensions two and three. This talk is based on joint work with Dan Stoertz and Vyron Vellis.

complex variablesdynamical systems

Audience: researchers in the topic

CAvid: Complex Analysis video seminar

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