This work consists of four articles corresponding to lectures from a January 1997 meeting on the theory of holomorphic dynamical systems. Articles describe the structure of polynomial differential equations in the complex plane, examine the theory of laminations by Riemann surfaces which occur in many dynamical or geometrical situations, analyze the generalization of the Fatou-Julia theory for polynomials or rational maps in complex dimensions, and consider polynomials of degree 2 in one complex variable. The book was first published in French as Dynamique et G�om�trie Complexes . Annotation (c) Book News, Inc., Portland, OR (booknews.com)

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