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Fractal Geometry: War, Peace, Fourier Analysis and the mysterious coastline of Great Britain

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If you have a question about this talk, please contact Alexander R Epstein .

Fractals first appeared in traditional architecture, particularly in traditional African, Arabic, and Mudejar styles. In mathematics, while some fractals appeared sporadically from the 17th century onwards, it was not until the 20th century that we began studying them seriously.

In this talk, I will first use the history of fractal geometry to introduce the intuition behind fractal dimensions and their basic properties. This will allow me to explain how different fields study fractal behaviour, including how it arises in nature and what fractals have to do with borders and coastlines. Finally, we will see all previous concepts in action in current research on the dipole Kakeya problem.

This talk is part of the Darwin College Science Seminars series.

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