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Dynamics in Several Complex Variables
 
John Erik Fornæss University of Michigan, Ann Arbor, MI
A co-publication of the AMS and CBMS
Dynamics in Several Complex Variables
Softcover ISBN:  978-0-8218-0317-2
Product Code:  CBMS/87
List Price: $29.00
Individual Price: $23.20
eBook ISBN:  978-1-4704-2447-3
Product Code:  CBMS/87.E
List Price: $27.00
Individual Price: $21.60
Softcover ISBN:  978-0-8218-0317-2
eBook: ISBN:  978-1-4704-2447-3
Product Code:  CBMS/87.B
List Price: $56.00 $42.50
Dynamics in Several Complex Variables
Click above image for expanded view
Dynamics in Several Complex Variables
John Erik Fornæss University of Michigan, Ann Arbor, MI
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-0317-2
Product Code:  CBMS/87
List Price: $29.00
Individual Price: $23.20
eBook ISBN:  978-1-4704-2447-3
Product Code:  CBMS/87.E
List Price: $27.00
Individual Price: $21.60
Softcover ISBN:  978-0-8218-0317-2
eBook ISBN:  978-1-4704-2447-3
Product Code:  CBMS/87.B
List Price: $56.00 $42.50
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 871996; 59 pp
    MSC: Primary 32; Secondary 58

    This CBMS lecture series, held in Albany, New York in June 1994, aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. The author's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory.

    These notes provide an easy-to-read introduction into the field, an introduction that motivates the topics. The monograph then points readers towards technically more advanced literature.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction (Chapter 1)
    • 2. Kobayashi Hyperbolicity (Chapter 2)
    • 3. Some examples (Chapter 3)
    • 4. Applications of Kobayashi Hyperbolicity (Chapter 4)
    • 5. Recurrent Fatou components (Chapter 5)
    • 6. Rational maps (Chapter 6)
    • 7. Holomorphic dynamics in $\mathbb {C}^n$ (Chapter 7)
    • 8. Exploding orbits (Chapter 8)
    • 9. Unbounded orbits (Chapter 9)
    • 10. Generic density of orbits (Chapter 10)
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 871996; 59 pp
MSC: Primary 32; Secondary 58

This CBMS lecture series, held in Albany, New York in June 1994, aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some of the lectures are updated versions of earlier lectures given jointly with Nessim Sibony in Montreal 1993. The author's intent in this book is to give an expansion of the Montreal lectures, basing complex dynamics in higher dimension systematically on pluripotential theory.

These notes provide an easy-to-read introduction into the field, an introduction that motivates the topics. The monograph then points readers towards technically more advanced literature.

Readership

Research mathematicians.

  • Chapters
  • 1. Introduction (Chapter 1)
  • 2. Kobayashi Hyperbolicity (Chapter 2)
  • 3. Some examples (Chapter 3)
  • 4. Applications of Kobayashi Hyperbolicity (Chapter 4)
  • 5. Recurrent Fatou components (Chapter 5)
  • 6. Rational maps (Chapter 6)
  • 7. Holomorphic dynamics in $\mathbb {C}^n$ (Chapter 7)
  • 8. Exploding orbits (Chapter 8)
  • 9. Unbounded orbits (Chapter 9)
  • 10. Generic density of orbits (Chapter 10)
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.