Name: Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics) (en Inglés)
Price: 46.21 USD
Availability: InStock
Author: Saeed Zakeri
ISBN: 9783319788098

portada Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics) (en Inglés)

Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Saeed Zakeri

Año

2018

Idioma

Inglés

N° páginas

140

Encuadernación

Tapa Blanda

ISBN13

9783319788098

N° edición

Categorías

Cálculo diferencial y ecuaciones

Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics) (en Inglés)

Saeed Zakeri (Autor) · Springer · Tapa Blanda

Libro Nuevo Importado

Envío: 16 a 22 días háb.

$ 84.02$ 46.21

-45%

Costos de importación incluídos en el precio ✅

Libro Nuevo

Quedan 50 unidades

$ 46.21

Llega entre el 03 Sep y el 15 Sep a Quito, Pichincha. Seleccionar ubicación

Agregar a lista de deseos

Reseña del libro "Rotation Sets and Complex Dynamics (Lecture Notes in Mathematics) (en Inglés)"

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.