Rotation Sets and Complex Dynamics

• Main Author: Zakeri, Saeed (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Lecture Notes in Mathematics, 2214
• Subjects: Dynamics.; Ergodic theory.; Functions of complex variables.; Dynamical Systems and Ergodic Theory.; Functions of a Complex Variable.

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...

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.