One-Dimensional Dynamics

Language: English

Published by Springer Berlin Heidelberg, 2011

3642780458 / 9783642780455

Series: Book 102 of 184 - Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - One-dimensional dynamics has developed in the last decades into a subject in its own right. Yet, many recent results are inaccessible and have never been brought together. For this reason, we have tried to give a unified ac count of the subject and complete proofs of many results. To show what results one might expect, the first chapter deals with the theory of circle diffeomorphisms. The remainder of the book is an attempt to develop the analogous theory in the non-invertible case, despite the intrinsic additional difficulties. In this way, we have tried to show that there is a unified theory in one-dimensional dynamics. By reading one or more of the chapters, the reader can quickly reach the frontier of research. Let us quickly summarize the book. The first chapter deals with circle diffeomorphisms and contains a complete proof of the theorem on the smooth linearizability of circle diffeomorphisms due to M. Herman, J.-C. Yoccoz and others. Chapter II treats the kneading theory of Milnor and Thurstonj also included are an exposition on Hofbauer's tower construction and a result on fuB multimodal families (this last result solves a question posed by J. Milnor).…

Seller Inventory # 9783642780455

Title
One-Dimensional Dynamics
Author
Sebastian Van Strien
Publisher
Springer Berlin Heidelberg
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642780458
ISBN 13
9783642780455
Item weight
1,045 grams
Dimensions
242x170x34 mm
Series
Book 102 of 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

AHA-BUCH GmbH

Einbeck, Germany

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