Rational Iteration
eBook - PDF

Rational Iteration

Complex Analytic Dynamical Systems

  1. 200 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Rational Iteration

Complex Analytic Dynamical Systems

About this book

No detailed description available for "Rational Iteration".

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Information

Publisher
De Gruyter
Year
2011
Print ISBN
9783110137651
eBook ISBN
9783110889314
Edition
1
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Preface
  2. List of Special Symbols
  3. Chapter 1 Preliminaries
  4. 1 Basic Notation
  5. 2 Proper Mappings
  6. 3 The Riemann-Hurwitz Formula
  7. 4 The Poincaré Metric
  8. 5 Capacity and Green’s Function
  9. Chapter 2 The Dynamical Dichotomy
  10. 1 Two Examples
  11. 2 Notation
  12. 3 The Julia Set
  13. 4 Montel’s Criterion
  14. 5 Repelling Cycles
  15. 6 Stable Domains
  16. 7 The Denjoy-Wolff Theorem
  17. Chapter 3 The Fatou Set
  18. 1 Sullivan’s Theorem
  19. 2 The Fatou-Cremer Classification
  20. 3 Böttcher Domains
  21. 4 Schröder Domains
  22. 5 Leau Domains and Leau Flowers
  23. 6 Indifferent Cycles
  24. 7 The Centre Problem
  25. 8 Rotation Domains
  26. Chapter 4 The Existence of Rotation Domains
  27. 1 Siegel’s Theorem
  28. 2 The Bryuno-RĂŒssmann Theorem
  29. 3 Arnol’d’s Theorem
  30. Chapter 5 The Geometry of the Julia Set
  31. 1 Critical Points
  32. 2 Symbolic Dynamics
  33. 3 Smooth Julia Sets
  34. 4 Completely Invariant Stable Domains
  35. 5 Boundaries of Stable Domains
  36. Chapter 6 Miscellanea
  37. 1 Polynomials
  38. 2 The Mandelbrot Set
  39. 3 Lyubich’s Invariant Measure
  40. 4 Stable Julia Sets
  41. 5 Permutable Rational Functions
  42. Bibliography
  43. Index

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Yes, you can access Rational Iteration by Norbert Steinmetz in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.