Fractal Cats and the Endless Possibilties for Julia Sets

Friday, May 10, 2013 at 1:00pm to 1:45pm

Bronfman Science Center, 106 18 Hoxsey St, Williamstown, MA 01267, USA

Fractal Cats and the Endless Possibilties for Julia Sets

Kathryn Lindsey '07, Cornell University

Mathematics and Statistics Department Faculty Seminar

Abstract:  Would you like to find a polynomial whose Julia set looks like a car? a triangle? a cat? I will tell you how to construct such a polynomial. In joint work with William Thurston, I proved that any Jordan curve in the plane can be approximated arbitrarily well in the Hausdorff topology by the Julia sets of polynomials.  Finite unions of disjoint Jordan curves can be approximated by the basins of attraction of rational maps.  I will discuss these results and show some pictures of neat Julia sets.

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lecture/seminar/presentation

Department

Mathematics & Statistics

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