Fractals, fractal dimension, and applications.

Speaker: 

Professor Anton Gorodetski

Institution: 

UCI

Time: 

Friday, November 2, 2007 - 4:00pm

Location: 

MSTB 120

Informally speaking, fractals are sets of non-integer dimension. The
standard Cantor set is a simplest example of a fractal set. An important
characteristic of a fractal set is its fractal (or Hausdorff) dimension. We
will give two examples of recent results (oscillatory motions in the three
body problem and spectrum of a discrete Schrodinger operator with Fibonacci
potential) where fractals appear in a natural way, and their Hausdorff
dimension can be estimated.

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