Rotation Sets and Complex Dynamics [electronic resource] by Saeed Zakeri.

This monograph examines rotation sets under the multiplication by d (mod 1) map and their relation to degree d polynomial maps of the complex plane. These sets are higher-degree analogs of the corresponding sets under the angle-doubling map of the circle, which played a key role in Douady and Hubbar...

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Bibliographic Details
Main Author: Zakeri, Saeed (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Lecture Notes in Mathematics, 2214
Subjects:
Dynamical systems.
Functions of complex variables.
Online Access:
Springer Mathematics and Statistics eBooks 2018 English/International: 2018 (Springer Link)
Format: Electronic eBook
Contents:
  • 1. Monotone Maps of the Circle
  • 2. Rotation Sets
  • 3. The Deployment Theorem
  • 4. Applications and Computations
  • 5. Relation to Complex Dynamics.