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Rotation sets and complex dynamics

Author: Saeed Zakeri
Publisher: Cham, Switzerland : Springer, 2018.
Series: Lecture notes in mathematics (Springer-Verlag), 2214.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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 Hubbard's work on the quadratic family and the Mandelbrot set. Presenting the first systematic study of rotation sets,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Zakeri, Saeed.
Rotation sets and complex dynamics.
Cham, Switzerland : Springer, 2018
(OCoLC)1027192370
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Saeed Zakeri
ISBN: 9783319788104 3319788108
OCLC Number: 1042073505
Description: 1 online resource (xiv, 124 pages) : illustrations (some color)
Contents: 1. Monotone Maps of the Circle --
2. Rotation Sets --
3. The Deployment Theorem --
4. Applications and Computations --
5. Relation to Complex Dynamics.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2214.
Responsibility: Saeed Zakeri.

Abstract:

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.  Read more...

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