Leticia Pardo-Simon (Liverpool) - Splitting hairs with transcendental entire functions
| Dates: | 23 September 2019 |
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| Times: | 15:00 - 16:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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| Speaker: | Leticia Pardo-Simon |
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Leticia Pardo-Simon (Liverpool) will be speaking at this research seminar, part of the Dynamical Systems and Analysis seminar series.
Abstract: In the study of the behaviour under iteration of a transcendental entire map $f$, its singular set, that is, the set of singularities of the inverse f^{-1}, as well as its forward orbit, called the postsingular set, play a key role. In fact, all previous results providing a complete description of topological dynamics had been achieved for transcendental entire functions with bounded postsingular set. In this talk, I will introduce a new class of functions with unbounded postsingular set and will conclude that their Julia sets can be characterized as a collection of dynamic rays or hairs, that is, injective curves that escape to infinity uniformly, that split at (preimages of) critical points, together with their corresponding landing points.
Speaker
Leticia Pardo-Simon
Organisation: Liverpool University
Travel and Contact Information
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G.114
Alan Turing Building
Manchester
