Complex Dynamics and Geometry

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Author: Dominique Cerveau

ISBN-10: 082183228X

ISBN-13: 9780821832288

Category: Geometry - Algebraic

In the last twenty years, the theory of holomorphic dynamical systems has had a resurgence of activity, particularly concerning the fine analysis of Julia sets associated with polynomials and rational maps in one complex variable. At the same time, closely related theories have had a similar rapid development, for example the qualitative theory of differential equations in the complex domain. The meeting, ''Etat de la recherche'', held at Ecole Normale Superieure de Lyon, presented the...

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Holomorphic Dynamical Systems1Codimension-One Holomorphic Foliations, Reduction of Singularities in Low Dimensions, and Applications11Riemann Surface Laminations43Dynamics of Rational Maps on P[superscript k]85Dynamics of Quadratic Polynomials167