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Rotation Sets and Complex Dynamics

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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.

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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.

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Book Format

Hardcover, Softcover

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Book information

Edition
1st Edition
ISBN [Softcover]
9783319788098
Publisher
Springer
Year
2018
Pages
XIV, 124 p.
Series Title
Lecture Notes in Mathematics
Language
English
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