Rotation Sets and Complex Dynamics

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
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1. Monotone Maps of the Circle
  • 2. Rotation Sets
  • 3. The Deployment Theorem
  • 4. Applications and Computations
  • 5. Relation to Complex Dynamics