Holomorphic Dynamical Systems: Cetraro, Italy, July 7-12, 2008

✍ Scribed by Marco Abate, Eric Bedford, Marco Brunella, Tien-Cuong Dinh, Dierk Schleicher, Nessim Sibony (auth.), Graziano Gentili, Jacques Guenot, Giorgio Patrizio (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2010
• Tongue: English
• Leaves: 357
• Series: Lecture Notes in Mathematics 1998 Fondazione C.I.M.E., Firenze
• Edition: 1
• Category: Library

✦ Synopsis

The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. This volume collects the Lectures held at the 2008 CIME session on "Holomorphic Dynamical Systems" held in Cetraro, Italy. This CIME Course focused on a number of important topics in the study of discrete and continuous dynamical systems, including both local and global aspects, providing a fascinating introduction to many key problems in current research. The contributions provide an ample description of the phenomena occurring in central themes of holomorphic dynamics such as automorphisms and meromorphic self-maps of projective spaces, of entire maps on complex spaces and holomorphic foliations in surfaces and higher dimensional manifolds, elaborating on the different techniques used and familiarizing readers with the latest findings on current research topics.

✦ Table of Contents

Front Matter....Pages i-xiii
Discrete Holomorphic Local Dynamical Systems....Pages 1-55
Dynamics of Rational Surface Automorphisms....Pages 57-104
Uniformisation of Foliations by Curves....Pages 105-163
Dynamics in Several Complex Variables: Endomorphisms of Projective Spaces and Polynomial-like Mappings....Pages 165-294
Dynamics of Entire Functions....Pages 295-339
Back Matter....Pages 341-348

✦ Subjects

Dynamical Systems and Ergodic Theory; Functions of a Complex Variable; Several Complex Variables and Analytic Spaces; Potential Theory