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Seminar

COMD Research Seminar Series: Julia Sets with Ahlfors-Regular Conformal Dimension One March 02, 2022 (11:00 AM PST - 12:00 PM PST)
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Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Insung Park (Institute for Computational and Experimental Research in Mathematics (ICERM))
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To participate in this seminar, please register HERE.

What is the simplest interesting family of rational maps? In this talk, we introduce a family of post-critically finite rational maps, called crochet maps, and discuss various reasons why crochet maps can be a good answer to the question. In particular, we show that for a post-critically finite hyperbolic rational map, being a crochet map is equivalent to having the minimal conformal dimension of Julia set.

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