Dynamical Systems and Analysis Seminar - Jonathan Fraser
| Dates: | 27 October 2025 |
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| Times: | 14:00 - 15:00 |
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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: Jonathan Fraser (University of St Andrews)
Title: Dimensions of orbital sets in complex dynamics
Abstract: Let E be a non-empty compact subset of the Riemann sphere and T be a rational map of degree at least two. The associated orbital set is defined to be the backwards orbit of E under T. I will consider under what circumstances the upper box dimension of the orbital set may be expressed in terms of the upper box dimensions of the Julia set of T and the initial set E. Our results extend previous work on inhomogeneous iterated function systems and Kleinian orbital sets to the setting of complex dynamical systems. This is joint work with my PhD student Yunlong Xu.
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
