Dynamical Systems and Analysis Seminar - Lasse Rempe
| Dates: | 3 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: Lasse Rempe (University of Manchester)
Title: A glimpse of transcendental dynamics
Abstract: In (one-dimensional) holomorphic dynamics, one studies discrete dynamical systems whose state is described by a single complex variable, and whose evolution rule is given by a holomorphic function. For example, the study of the case where the evolution rule is given by a quadratic polynomial gives rise to the famous "Mandelbrot set". Transcendental dynamics concerns the case where the evolution rule is not given by a polynomial or a rational function. The goal of this talk is to give a gentle introduction to the central objects and questions studied in the field. Most of the talk will be concerned with the discussion of a single, classical but important, example: the iteration of the function f(z) = \lambda \sin(z), where 0<\lambda< 1.
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
