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Sinopsis
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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Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
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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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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. Nº de ref. del artículo: 2489758
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Rotation Sets and Complex Dynamics.
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Cham, Springer., 2018
ISBN 10: 3319788094
ISBN 13: 9783319788098
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Librería: Universitätsbuchhandlung Herta Hold GmbH, Berlin, Alemania
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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. Nº de ref. del artículo: 4043BB
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Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics, 2214)
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Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics, 2214)
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Rotation Sets and Complex Dynamics
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Springer, Berlin, Springer International Publishing, Springer Jun 2018, 2018
ISBN 10: 3319788094
ISBN 13: 9783319788098
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783319788098
Cantidad disponible: 2 disponibles
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Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics, 2214)
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Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics)
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Paperback. Condición: New. Nº de ref. del artículo: 6666-IUK-9783319788098
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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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Condición: 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. Nº de ref. del artículo: 220290715
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Rotation Sets and Complex Dynamics
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Condición: New. Nº de ref. del artículo: 32703705-n
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Rotation Sets and Complex Dynamics
Publicado por
Springer, Berlin, Springer International Publishing, Springer, 2018
ISBN 10: 3319788094
ISBN 13: 9783319788098
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783319788098
Cantidad disponible: 2 disponibles