About this book
Introduction
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.
Keywords
Discrete holomorphic local dynamical systems Dynamics of entire functions Dynamics of rational surface automorphisms Holomorphic endomorphisms, polynomial-like maps Meromorphic function Uniformisation of foliations by curves
Authors and affiliations
- Marco Abate
- Eric Bedford
- Marco Brunella
- Tien-Cuong Dinh
- Dierk Schleicher
- Nessim Sibony
- 1.Dipartimento di MatematicaUniversità PisaPisaItaly
- 2.Department of MathematicsIndiana UniversityBloomingtonUSA
- 3.Inst. de Mathématiques de Bourgogne, CNRS UMR 5584Université de BourgogneDijonFrance
- 4.Institut Mathématiques de Jussieu, UMR7586UPMC Univ Paris 06 JussieuParisFrance
- 5.Research IJacobs UniversityBremenGermany
- 6.Département de Mathématiques d'OrsayUniversité Paris-Sud 11OrsayFrance
Editors and affiliations
- Graziano Gentili
- Jacques Guenot
- Giorgio Patrizio
- 1.Department of Mathematics "U.Dini"University of FlorenceFirenzeItaly
- 2.Dipartimento di StruttureUniversità della CalabriaArcavacata di Rende (CS)Italy
- 3.Dipartimento di Matematica "U.Dini"Università di FirenzeFirenzeItaly
Bibliographic information