C.I.M.E. Foundation Subseries

Holomorphic Dynamical Systems

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

Authors: Sibony, N., Schleicher, D., Cuong, D.T., Brunella, M., Bedford, E., Abate, M.

Editors: Gentili, Graziano, Patrizio, Giorgio, Guenot, Jacques (Eds.)

  • Includes contributions by six well known researchers on important topics in the study of discrete and  continuous dynamical systems
  • Each contribution is as self-contained as possible
  • Provides a fascinating introduction to many key problems of the current research
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eBook $69.99
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  • ISBN 978-3-642-13171-4
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  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-13170-7
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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. 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 (5 chapters)

  • Discrete Holomorphic Local Dynamical Systems

    Abate, Marco

    Pages 1-55

  • Dynamics of Rational Surface Automorphisms

    Bedford, Eric

    Pages 57-104

  • Uniformisation of Foliations by Curves

    Brunella, Marco

    Pages 105-163

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

    Dinh, Tien-Cuong (et al.)

    Pages 165-294

  • Dynamics of Entire Functions

    Schleicher, Dierk

    Pages 295-339

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-13171-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-13170-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Holomorphic Dynamical Systems
Book Subtitle
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 7-12, 2008
Authors
Editors
  • Graziano Gentili
  • Giorgio Patrizio
  • Jacques Guenot
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1998
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-13171-4
DOI
10.1007/978-3-642-13171-4
Softcover ISBN
978-3-642-13170-7
Edition Number
1
Number of Pages
XII, 348
Topics