Complex dynamics in higher dimensions

The field of complex dynamics in higher dimension was initiated in the 1920’s by Fa-tou. It was motivated by studies in Newton’s method, celestial mechanics and functional equations. Recently, new methods from pluripotential theory have been introduced to the subject. These techniques have produced...

Full description

Saved in:
Bibliographic Details
Published inComplex Potential Theory Vol. 439; pp. 131 - 186
Main Authors Fornæss, John Erik, Sibony, Nessim
Format Book Chapter
LanguageEnglish
Published The Netherlands Springer Netherlands 1994
SeriesNATO ASI Series
Subjects
Complex Dynamic
Complex Manifold
Critical Orbit
Fatou Component
Pluriharmonic Function
Online AccessGet full text

Cover

More Information
Summary:The field of complex dynamics in higher dimension was initiated in the 1920’s by Fa-tou. It was motivated by studies in Newton’s method, celestial mechanics and functional equations. Recently, new methods from pluripotential theory have been introduced to the subject. These techniques have produced many new interesting results. We give an introduction to this subject and a summary of the most relevant developments.
ISBN:9401044031
9789401044035
ISSN:1389-2185
DOI:10.1007/978-94-011-0934-5_4