Rotation Sets and Complex Dynamics
Saeed Zakeri
ISBN 10: 3319788094 ISBN 13: 9783319788098
Edité par Springer International Publishing AG, 2018
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A propos de cet article
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2018. 1st ed. 2018. Paperback. . . . . . N° de réf. du vendeur V9783319788098
Synopsis :
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.
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Détails bibliographiques
Titre : Rotation Sets and Complex Dynamics
Éditeur : Springer International Publishing AG
Date d'édition : 2018
Reliure : Couverture souple
Etat : New
Edition : Edition originale
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Rotation sets and complex dynamics. Lecture notes in mathematics; Bd. 2214.
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Cham, Springer, 2018
ISBN 10 : 3319788094
ISBN 13 : 9783319788098
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03828 9783319788098 Sprache: Englisch Gewicht in Gramm: 550. N° de réf. du vendeur 2489758
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Rotation Sets and Complex Dynamics.
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Cham, Springer., 2018
ISBN 10 : 3319788094
ISBN 13 : 9783319788098
Ancien ou d'occasion
Couverture souple
Vendeur : Universitätsbuchhandlung Herta Hold GmbH, Berlin, Allemagne
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xiv, 122 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Lecture Notes in Mathematics, 2214. Sprache: Englisch. N° de réf. du vendeur 4043BB
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Rotation Sets and Complex Dynamics
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Springer International Publishing, 2018
ISBN 10 : 3319788094
ISBN 13 : 9783319788098
Neuf
Couverture souple
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Rotation Sets and Complex Dynamics
ISBN 10 : 3319788094
ISBN 13 : 9783319788098
Neuf
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Taschenbuch. Etat : Neu. 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. N° de réf. du vendeur 9783319788098
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Rotation Sets and Complex Dynamics (Paperback)
Edité par
Springer International Publishing AG, Cham, 2018
ISBN 10 : 3319788094
ISBN 13 : 9783319788098
Neuf
Paperback
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Paperback. Etat : new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783319788098
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