In this episode of Open Skies, we chat with Andy Brighouse, a recent MSc Mathematics graduate from The Open University, about the fascinating world of fractals and their applications in mathematics, weather, and climate. We
explore the definitions of fractals, their properties, and how they can be used as tools for measurement, interpolation, and prediction. Andy shares his experiences with fractals during his research on tundra lakes and the opportunities he had to explore some of these topics in his MSc degree.
00:00 Getting into Fractals
05:00 Understanding Fractals: Definitions and Examples
11:00 Fractal Dimensions: Measurement and Application
15:50 Fractals in Data Interpolation and Inverse Problems
27:24 What’s next: Fractal Geometry and Dynamical Systems
30:00 Learning Maths is a bit Fractal
We hope you’ve enjoyed this episode of Open Skies!
For all our club contact and joining links:
https://linktr.ee/ouweatherandclimateclub
For Andy’s OpenInterval piece describing his placement on
the research bursary scheme:
https://www3.open.ac.uk/documents/8/uh23081159293810.pdf
Student research bursaries:
research bursaries | School of Mathematics and Statistics
Mathematics Postgraduate OU Cafe:
https://learn2.open.ac.uk/mod/forumng/view.php?id=1379608
On the fractal properties of drifting trails of smoke:
Fractal Geometry of Isoconcentration Surfaces in a Smoke
Alexander A. Praskovsky, Walter F. Dabberdt, Eleanor A.
Praskovskaya, Walter G. Hoydysh, and Oleh Holynskyj
Understanding Julia and Mandelbrot sets:
https://www.karlsims.com/julia.html
Fractal Interpolation in Context: Paper on optimising
time series predictions using fractal interpolation:
Fractal interpolation in the context of prediction
Alexandra Baicoianu, Cristina
Gabriela Gavrilă, Cristina
Maria Pacurar, Victor
Kac, M. (1966) ‘Can One Hear the Shape of a Drum?’, The
American mathematical monthly, 73(4), pp. 1-. Available at:
https://doi.org/10.2307/2313748.
OU Library access link: https://library-search.open.ac.uk/permalink/44OPN_INST/j6vapu/cdi_crossref_primary_10_2307_2313748
Fractals and Chaos: An illustrated Course
Full text available via the OU Library:
https://library-search.open.ac.uk/permalink/44OPN_INST/j6vapu/cdi_informaworld_taylorfrancisbooks_9780849384431
