Free shipping on all orders over $79* Limited Time Only
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Rotation Sets and Complex Dynamics : Lecture Notes in Mathematics : Book 2214 - Saeed Zakeri

Rotation Sets and Complex Dynamics

By: Saeed Zakeri

eText | 23 June 2018

At a Glance

eText

$84.99

or 4 interest-free payments of $21.25 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

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.

on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionMathematicsApplied MathematicsNonlinear ScienceCalculus & Mathematical AnalysisComplex AnalysisOptimisationLinear ProgrammingReference, Information & Interdisciplinary SubjectsResearch & InformationInformation theoryCybernetics & Systems Theory
Library & Info SciencesLibrary & Information Services

More in Calculus & Mathematical Analysis

AI Breaking Boundaries - Avinash Vanam

eBOOK

AI Breaking Boundaries

eBook

$16.99

This product is categorised by