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Dynamics in one complex variable: introductory lectures

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arxiv math/9201272 v1 pith:VSWJDV5D submitted 1990-04-20 math.DS math.CV

John W. Milnor This is my paper · ORCID
classification math.DSmath.CV
keywords lecturescomplexdynamicsintroductoryreaderriemannvariableassumed
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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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