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Add to basketSoftcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-03828 9783319788098 Sprache: Englisch Gewicht in Gramm: 550.
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Published by Springer International Publishing AG, Cham, 2018
ISBN 10: 3319788094 ISBN 13: 9783319788098
Language: English
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Paperback. Condition: 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.
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Published by Springer International Publishing AG, 2018
ISBN 10: 3319788094 ISBN 13: 9783319788098
Language: English
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Published by Springer International Publishing AG, 2018
ISBN 10: 3319788094 ISBN 13: 9783319788098
Language: English
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Add to basketPaperback. Condition: Brand New. 122 pages. 9.00x6.00x0.50 inches. In Stock.
Published by Springer, Berlin, Springer International Publishing, Springer, 2018
ISBN 10: 3319788094 ISBN 13: 9783319788098
Language: English
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.
Published by Springer International Publishing AG, Cham, 2018
ISBN 10: 3319788094 ISBN 13: 9783319788098
Language: English
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Add to basketPaperback. Condition: 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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Published by Springer, Berlin, Springer International Publishing, Springer Jun 2018, 2018
ISBN 10: 3319788094 ISBN 13: 9783319788098
Language: English
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Add to basketTaschenbuch. Condition: 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.
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Add to basketCondition: New. PRINT ON DEMAND pp. 138.
Published by Springer International Publishing, 2018
ISBN 10: 3319788094 ISBN 13: 9783319788098
Language: English
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Add to basketCondition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides the first systematic treatment of rotation sets The abstract treatment is augmented by concrete examples of applications in polynomial dynamics The clear and detailed exposition is accompanied by nume.