Abstract
To understand the measurable and topological dynamics of a rational map R on \(\widehat {\mathbb {C}}\) of degree d ≥ 2, graphical computer approximations of the Julia set J(R) often provide valuable insight. They also offer visual suggestions of theorems that might be proved about rational maps. Conversely, knowing about the topological and measurable dynamics of R allows us to determine the best algorithm to use to visualize the Julia set.
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