Course content

The course is an introduction to the classical topic of one variable complex dynamics. We study iterations of a map from the Riemann sphere to itself, which we divide into a chaotic part (the Julia set) and an orderly part (the Fatou set). In the first part of the course we use mostly basic complex analysis, and in the second part we use potential theory. This allows us to describe statistical properties of the dynamical system.

Learning outcome

After completing the course you will have knowledge of the basic theory about the following, and be able to use the knowledge to solve problems:

  • complex dynamics on the Ri