Complex Analytic Dynamics on the Riemann Sphere
نویسندگان
چکیده
1. Background and notation 2. The dynamical dichotomy of Fatou and Julia 3. Periodic points 4. The consequences of Montel's Theorem 5. The Julia set is the closure of the set of repelling periodic points 6. Classical results concerning the Fatou set 7. Sullivan's classification of the Fatou set 8. A condition for expansion on the Julia set 9. The dynamics of polynomials 10. The Mandelbrot set and the work of Douady and Hubbard 11. The measurable Riemann mapping theorem and analytic dynamics 12. Bibliographic notes List of notation References
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