Complex Analytic Dynamics And Fractals

MTH647A

3-0-0-9

   
 

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Course Contents

Chordal & spherical metrics, Normal families. Iteration of polynomials and rational functions, Periodic points & orbits, Julia & Fatous sets and their characterizations, Dynamics of Julia and Fatous sets for quadratic, Rational& entire functions; The Mandelbrot set. Julia sets & fractals, Self similarity and fractal dimension. 

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