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. Presenting the first systematic study of r...
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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. Presenting the first systematic study of r...
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  • Formats: pdf
  • ISBN: 9783319788104
  • Publication Date: 23 Jun 2018
  • Publisher: Springer International Publishing
  • Product language: English
  • Drm Setting: DRM