Skip to main content
SpringerLink
Log in
Book cover

Holomorphic Dynamical Systems

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 7-12, 2008

  • Book
  • © 2010

Overview

Authors:
  1. Marco Abate

    1. Dipartimento di Matematica, Università Pisa, Pisa, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Eric Bedford

    1. Department of Mathematics, Indiana University, Bloomington, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Marco Brunella

    1. Inst. de Mathématiques de Bourgogne, CNRS UMR 5584, Université de Bourgogne, Dijon, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Tien-Cuong Dinh

    1. Institut Mathématiques de Jussieu, UMR7586, UPMC Univ Paris 06 Jussieu, Paris, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  5. Dierk Schleicher

    1. Research I, Jacobs University, Bremen, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  6. Nessim Sibony

    1. Département de Mathématiques d'Orsay, Université Paris-Sud 11, Orsay, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

Editors:
  1. Graziano Gentili

    1. Department of Mathematics "U.Dini", University of Florence, Firenze, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Jacques Guenot

    1. Dipartimento di Strutture, Università della Calabria, Arcavacata di Rende (CS), Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Giorgio Patrizio

    1. Dipartimento di Matematica "U.Dini", Università di Firenze, Firenze, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • This title includes contributions by six well known reserchers in different topics of the ample subject
  • The contributions are as much self-contained as possible
  • The volume provides a fascinating introduction to many key problems of the current research
  • Includes supplementary material: sn.pub/extras

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

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Discrete Holomorphic Local Dynamical Systems

    • Marco Abate
    Pages 1-55

  3. Dynamics of Rational Surface Automorphisms

    • Eric Bedford
    Pages 57-104

  4. Uniformisation of Foliations by Curves

    • Marco Brunella
    Pages 105-163

  5. Dynamics in Several Complex Variables: Endomorphisms of Projective Spaces and Polynomial-like Mappings

    • Tien-Cuong Dinh, Nessim Sibony
    Pages 165-294

  6. Dynamics of Entire Functions

    • Dierk Schleicher
    Pages 295-339

  7. Back Matter

    Pages 341-348
    Download chapter PDF
Back to top

Keywords

About this book

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. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.

Authors, Editors and Affiliations

  • Department of Mathematics "U.Dini", University of Florence, Firenze, Italy

    Graziano Gentili

  • Dipartimento di Strutture, Università della Calabria, Arcavacata di Rende (CS), Italy

    Jacques Guenot

  • Dipartimento di Matematica "U.Dini", Università di Firenze, Firenze, Italy

    Giorgio Patrizio

  • Dipartimento di Matematica, Università Pisa, Pisa, Italy

    Marco Abate

  • Department of Mathematics, Indiana University, Bloomington, USA

    Eric Bedford

  • Inst. de Mathématiques de Bourgogne, CNRS UMR 5584, Université de Bourgogne, Dijon, France

    Marco Brunella

  • Institut Mathématiques de Jussieu, UMR7586, UPMC Univ Paris 06 Jussieu, Paris, France

    Tien-Cuong Dinh

  • Research I, Jacobs University, Bremen, Germany

    Dierk Schleicher

  • Département de Mathématiques d'Orsay, Université Paris-Sud 11, Orsay, France

    Nessim Sibony

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation