Description

Book Synopsis
This book, first published in 2000, emphasizes the substantial role played by classical complex analysis in understanding holomorphic dynamics and gives an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables, as well as the case of rational functions.

Table of Contents
1. The dynamics of polynomial maps; 2. Fatou and Julia sets; 3. Dynamics of entire functions; 4. Dynamics of rational functions; 5. Kleinian groups and Sullivan's dictionary; 6. The dynamics of holomorphic maps of sveral variables; 7. Dynamics of generalized Hénon maps; 8. Pluripotential theory of polynomial automorphisms; 9. Dynamics of polynomial automorphisms; Bibliography; Index.

Holomorphic Dynamics 66 Cambridge Studies in Advanced Mathematics Series Number 66

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    A Hardback by M. Taniguchi, Y. Nishimura, M. Taniguchi

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      Book details

      Publisher Cambridge University Press
      Published 1/13/2000 12:00:00 AM
      ISBN-13 9780521662581
      978-0521662581
      ISBN-10 0521662583
      Also in:
      Differential calculus and equations Probability and statistics

      Description

      Book Synopsis
      This book, first published in 2000, emphasizes the substantial role played by classical complex analysis in understanding holomorphic dynamics and gives an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables, as well as the case of rational functions.

      Table of Contents
      1. The dynamics of polynomial maps; 2. Fatou and Julia sets; 3. Dynamics of entire functions; 4. Dynamics of rational functions; 5. Kleinian groups and Sullivan's dictionary; 6. The dynamics of holomorphic maps of sveral variables; 7. Dynamics of generalized Hénon maps; 8. Pluripotential theory of polynomial automorphisms; 9. Dynamics of polynomial automorphisms; Bibliography; Index.

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