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Plenary Talk
(Saturday Morning)
"The
Fractal Geometry of the Mandelbrot Set"
Robert
L. Devaney
Boston University
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In
this lecture we describe several folk theorems concerning the
Mandelbrot set. While this set is extremely complicated from
a geometric point of view, we will show that, as long as you
know how to add and how to count, you can understand this geometry
completely. We will encounter many famous mathematical objects
in the Mandelbrot set, like the Farey tree and the Fibonacci
sequence. And we will find many soon-to-be-famous objects
as well, like the "Devaney" sequence. There might even
be a joke or two in the talk.
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