Iteration Theory

Code: MA742 | L-T-P-C: 4-0-0-8

MA742 Iteration Theory [4-0-0-8] Prerequisites: Nil

Chordal and spherical metrics, Normal families, Iteration of polynomials and rational functions, Periodic points and orbits, Singular values, Julia and Fatou sets and their characterizations, Mandelbrot set, Dynamics of transcendental entire functions, Bifurcation and Chaotic burst in the dynamics, Iteration of certain meromorphic functions, Julia sets and Fractals, Self-similarity and Fractal dimensions.

Texts:

1. J. L. Schiff, Normal Families, Springer Verlag, 1993.
2. L. Carleson and T.W. Gamelin, Complex Dynamics, Springer Verlag, 1993.
3. F. Beardon, Iteration of Rational Functions, Springer Verlag, 1991.
4. W. Bergweiler, Iteration of Meromorphic Functions, Bulletin of American Mathematical Society, Volume 29, No. 2, Pages 151-188, 1993.
5. M. F. Barnsley, Fractals Everywhere, 2nd edition, Academic Press, 1995.