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Complex dynamics in higher dimensions

  • Chapter
Complex Potential Theory

Part of the book series: NATO ASI Series ((ASIC,volume 439))

Abstract

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.

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Author information

Authors and Affiliations

  1. Mathematics Department, The University of Michigan, Ann Arbor, MI, 48109, USA

    John Erik Fornæss

  2. Bât. 425, Mathématiques, Université de Paris-Sud, F-91405, Orsay Cédex, France

    Nessim Sibony

Authors
  1. John Erik Fornæss
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  2. Nessim Sibony
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Editor information

Editors and Affiliations

  1. Département de Mathématiques et de Statistique, and Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec, Canada

    Paul M. Gauthier

  2. Département de Mathématiques et de Statistique, Faculté des Arts et des Sciences, Université de Montréal, Montréal, Québec, Canada

    Gert Sabidussi

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© 1994 Springer Science+Business Media Dordrecht

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Fornæss, J.E., Sibony, N. (1994). Complex dynamics in higher dimensions. In: Gauthier, P.M., Sabidussi, G. (eds) Complex Potential Theory. NATO ASI Series, vol 439. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0934-5_4

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  • DOI: https://doi.org/10.1007/978-94-011-0934-5_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4403-5

  • Online ISBN: 978-94-011-0934-5

  • eBook Packages: Springer Book Archive

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