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complex dynamics

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Krieger

Dynamic numbers

Holly Krieger has won a Whitehead Prize for work that combines number theory and dynamical systems.
Article

What is the Mandelbrot set?

This article gives a short but thorough introduction to that fabled beast of mathematics: the Mandelbrot set.
News story

Fractal photo finish

If you're bored with your holiday snaps, then why not turn them into fractals? A new result by US mathematicians shows that you can turn any reasonable 2D shape into a fractal, and the fractals involved are very special too. They are intimately related to the famous Mandelbrot set.
Article

Unveiling the Mandelbrot set

You've probably seen pictures of the famed Mandelbrot set and its mysterious cousins, the Julia sets. In this article Robert L. Devaney explores the maths behind these beauties and shows that they're loaded with mathematical meaning.