Institute for Mathematical Sciences
Dynamics in One Complex Variable: Introductory Lectures.
Abstract: These notes study the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the
classical case of rational maps of the Riemann sphere.
They are based on introductory lectures given at Stony Brook
during the Fall Term of 1989-90. These lectures are intended
to introduce the reader to some key ideas in the field, and to
form a basis for further study. The reader is assumed to be
familiar with the rudiments of complex variable theory and of
two-dimensional differential geometry.
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