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Seminar

COMD Junior Seminar Series: On Karpinska’s Paradox May 23, 2022 (01:00 PM PDT - 02:00 PM PDT)
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Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Leticia Pardo Simon (University of Manchester)
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To participate in this seminar, please register HERE.

The Julia set of many exponential maps consists of an uncountable collection of pairwise disjoint curves that tend to infinity. In 1999, Karpińska proved the following surprising result: the set of endpoints of these curves has Hausdorff dimension 2, while the set of curves without endpoints has Hausdorff dimension 1. In this talk, we will comment on the main ideas of the proof, implications and generalizations.

This seminar is for postdocs and PhD students, and we kindly ask faculty not to attend.

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