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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 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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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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Rotation sets and complex dynamics. Lecture notes in mathematics; Bd. 2214.
Da: Antiquariat Bookfarm, Löbnitz, Germania
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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. Codice articolo 2489758
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Rotation Sets and Complex Dynamics.
Da: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Germania
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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. Codice articolo 4043BB
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ROTATION SETS AND COMPLEX DYNAMICS (PB 2018)
Da: Basi6 International, Irving, TX, U.S.A.
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Condizione: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Codice articolo ABEJUNE24-320680
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Rotation Sets and Complex Dynamics
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Springer International Publishing, 2018
ISBN 10: 3319788094
ISBN 13: 9783319788098
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Da: moluna, Greven, Germania
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Condizione: 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. Codice articolo 220290715
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Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics, 2214)
Da: Ria Christie Collections, Uxbridge, Regno Unito
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Condizione: New. In. Codice articolo ria9783319788098_new
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Rotation Sets and Complex Dynamics
ISBN 10: 3319788094
ISBN 13: 9783319788098
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9783319788098
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Rotation Sets and Complex Dynamics
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Condizione: New. Codice articolo 32703705-n
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Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics, 2214)
Da: California Books, Miami, FL, U.S.A.
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Condizione: New. Codice articolo I-9783319788098
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Rotation Sets and Complex Dynamics
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Rotation Sets and Complex Dynamics
ISBN 10: 3319788094
ISBN 13: 9783319788098
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: 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. Codice articolo 9783319788098
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