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Holomorphic Dynamical Systems

Cetraro, Italy, July 7-12, 2008

  • Marco Abate
  • Eric Bedford
  • Marco Brunella
  • Tien-Cuong Dinh
  • Dierk Schleicher
  • Nessim Sibony
  • Graziano Gentili
  • Jacques Guenot
  • Giorgio Patrizio

Part of the Lecture Notes in Mathematics book series (LNM, volume 1998)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 1998)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Eric Bedford
    Pages 57-104
  3. Marco Brunella
    Pages 105-163
  4. Dierk Schleicher
    Pages 295-339
  5. Back Matter
    Pages 341-348

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
    • 1
  • Eric Bedford
    • 2
  • Marco Brunella
    • 3
  • Tien-Cuong Dinh
    • 4
  • Dierk Schleicher
    • 5
  • Nessim Sibony
    • 6
  1. 1.Dipartimento di MatematicaUniversità PisaPisaItaly
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA
  3. 3.Inst. de Mathématiques de Bourgogne, CNRS UMR 5584Université de BourgogneDijonFrance
  4. 4.Institut Mathématiques de Jussieu, UMR7586UPMC Univ Paris 06 JussieuParisFrance
  5. 5.Research IJacobs UniversityBremenGermany
  6. 6.Département de Mathématiques d'OrsayUniversité Paris-Sud 11OrsayFrance

Editors and affiliations

  • Graziano Gentili
    • 1
  • Jacques Guenot
    • 2
  • Giorgio Patrizio
    • 3
  1. 1.Department of Mathematics "U.Dini"University of FlorenceFirenzeItaly
  2. 2.Dipartimento di StruttureUniversità della CalabriaArcavacata di Rende (CS)Italy
  3. 3.Dipartimento di Matematica "U.Dini"Università di FirenzeFirenzeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-13171-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-13170-7
  • Online ISBN 978-3-642-13171-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site