Abstract |
In this lecture, I will discuss some topics in holomorphic dynamical systems. These topics will include (1) the inverse limit structure of dynamical systems, Riemann surfaces, and Riemann Surface laminations; (2) the structure of the Mandelbrot set; (3) Lebesgue measures of Julia sets; (4) local structures near neutral periodic orbits; (5)a simply proof of non-wondering domain theorem; (6) holomorphic motions and quasiconformal mappings These lectures are graduate level. |