MTH647A - Complex Analytic Dynamics And Fractals
Prerequisites:
3-0-0-9
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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