Dynamics in One Complex Variable Introductory Lectures
File Type :PDF
Number of Pages :130
These note explains the dynamics of iterated holomorphic mappings from a
Riemann surface to itself, concentrating on the classical case of rational maps
of the Riemann sphere. Topics covered includes: Riemann Surfaces, The Julia Set,
Local Fixed Point Theory, Global Fixed Point Theory, Structure of the Fatou Set,
Caratheodory Theory and Polynomial Maps.