ELFT HÍRADÓ

[StatFizSzeminar <statfiz AT glu.elte.hu>]

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                    ELTE TTK Fizikai Intézet
                STATISZTIKUS FIZIKAI SZEMINÁRIUM


                        2014. június 18.
                         szerda, 11 óra
                         

               A szokásostól eltérő helyszínen!
                            É 4.52    


                      Robert Thijs Kozma
                          
          Department of Mathematics, SUNY Stony Brook
                   
                   
  "Limiting Behavior of Julia Sets of Perturbed Quadratic Maps"


Even the simplest nonlinear function z^2+c gives rise to chaotic 
dynamics resulting in very intricate mathematical objects such as the 
Mandelbrot set, and Julia sets. In this talk we first go over some 
basic properties of the Mandelbrot set, and Julia sets. We then go on 
to describe novel results on the behavior of Julia sets of certain 
families of rational maps arising from z^2+c by adding a small 
perturbation term lambda/z^2 and taking the limit as lambda -> 0. We 
will see that for certain c values the resulting Julia sets have some 
astonishing geometric and topological properties. Using symbolic 
dynamics and Cantor necklaces, we prove that as lambda -> 0, the 
Julia for this family set evolves into a space-filling fractal curve.


     1117, Budapest, Pázmány P. sétány 1/A, Északi tömb 
                honlap: http://glu.elte.hu/~statfiz

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