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SUMMARY:Fractal Geometry: War\, Peace\, Fourier Analysis and the mysteriou
 s coastline of Great Britain - Jose Ramon
DTSTART:20250220T130000Z
DTEND:20250220T140000Z
UID:TALK227098@talks.cam.ac.uk
CONTACT:Alexander R Epstein
DESCRIPTION:Fractals first appeared in traditional architecture\, particul
 arly 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.
 \n\nIn this talk\, I will first use the history of fractal geometry to int
 roduce the intuition behind fractal dimensions and their basic properties.
  This will allow me to explain how different fields study fractal behaviou
 r\, including how it arises in nature and what fractals have to do with bo
 rders and coastlines. Finally\, we will see all previous concepts in actio
 n in current research on the dipole Kakeya problem.
LOCATION:Richard King room\, Darwin College
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