Dynamical Systems and Analysis Seminar - Leticia Pardo-Simón
| Dates: | 31 March 2025 |
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| Times: | 14:00 - 14:00 |
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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, Current University students |
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Speaker: Leticia Pardo-Simón (Universitat de Barcelona)
Title: On the Hausdorff dimension of boundaries of attracting basins of entire maps
Abstract: Given an entire map f with an attracting cycle, the points that converge under iteration to such cycle form an open set, known as basin of attraction. The boundaries of such basins lie in the Julia set- the locus of chaos- of the map. In this talk we will discuss under which conditions on f such boundaries have Hausdorff dimension strictly larger than one. This is based on work with K. Bara?ski, B. Karpi?ska, D. Martí-Pete and A. Zdunik.
Room: Frank Adams 1
Further information: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_analysis
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Frank Adams 1
Alan Turing Building
Manchester
