Rotation Sets and Complex Dynamics

Language: English

Published by Springer, Berlin, Springer International Publishing, Springer Jun 2018, 2018

3319788094 / 9783319788098

Series: Book 19 of 20 - Lecture Notes in Mathematics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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, treating both rational and irrational cases in a unified fashion, the text includes several new results on their structure, their gap dynamics, maximal and minimal sets, rigidity, and continuous dependence on parameters. This abstract material is supplemented by concrete examples which explain how rotation sets arise in the dynamical plane of complex polynomial maps and how suitable parameter spaces of such polynomials provide a complete catalog of all such sets of a given degree. As a main illustration, the link between rotation sets of degree 3 and one-dimensional families of cubic polynomials with a persistent indifferent fixed point is outlined.The monograph will benefit graduate students as well as researchers in the area of holomorphic dynamics and related fields. 124 pp. Englisch.

Seller Inventory # 9783319788098

Title
Rotation Sets and Complex Dynamics
Author
Saeed Zakeri
Publisher
Springer, Berlin, Springer International Publishing, Springer Jun 2018
Publication year
2018
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319788094
ISBN 13
9783319788098
Item weight
225 grams
Dimensions
238x156x10 mm
Series
Book 19 of 20: Lecture Notes in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

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First item£ 19.74£ 19.74
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BuchWeltWeit Ludwig Meier e.K.

Germany