  For a probability measure with compact and non-polar support in the complex
plane we relate dynamical properties of the associated sequence of orthogonal
polynomials $\{P_n\}$ to properties of the support. More precisely we relate
the Julia set of $P_n$ to the outer boundary of the support, the filled Julia
set to the polynomial convex hull $K$ of the support, and the Green's function
associated with $P_n$ to the Green's function for the complement of $K$.
