Computability of Julia Sets

Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This accessible book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way.

The first book describing in detail some spectacular results on computation and complex dynamical systems. Includes supplementary material: sn.pub/extras

Autorentext

M. Braverman is an expert in Theoretical Computer Science, particularly in applications of computability to Complex Analysis and Dynamical Systems

M. Yampolsky is an expert in Dynamical Systems, particularly in Holomorphic Dynamics and Renormalization Theory

Inhalt
to Computability.- Dynamics of Rational Mappings.- First Examples.- Positive Results.- Negative Results.- Computability versus Topological Properties of Julia Sets.