Fractals with Andy Brighouse

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Open Skies

OU Weather and Climate Club

2 episodes

3 days ago

Open Skies is a series of short podcasts interviewing students, alumni and staff at the Open University about their work in weather and climate.
Produced by the Open University Weather & Climate Club, these podcasts are a student exercise to learn valuable skills and they are also a chance to share with you some of the active research interests in weather and climate at the Open University, and how you can get started learning more about these topics yourself.

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Fractals with Andy Brighouse

Open Skies

31 minutes 3 seconds

1 year ago

Fractals with Andy Brighouse

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.

Chapters:

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:

Student research bursaries | School of Mathematics and Statistics

Mathematics Postgraduate OU Cafe:

https://learn2.open.ac.uk/mod/forumng/view.php?id=1379608

Explore Further:

On the fractal properties of drifting trails of smoke:

Fractal Geometry of Isoconcentration Surfaces in a Smoke Plume

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 accuracy optimization

Alexandra Baicoianu, Cristina Gabriela Gavrilă, Cristina Maria Pacurar, Victor Dan Pacurar

arXiv:2403.00403

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

Paul S Addison, 1997

Full text available via the OU Library: https://library-search.open.ac.uk/permalink/44OPN_INST/j6vapu/cdi_informaworld_taylorfrancisbooks_9780849384431