One-Dimensional Dynamics

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Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics 25, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 25

ISBN: 3642780458
ISBN 13: 9783642780455
Autor: Melo, Welington de/Strien, Sebastian van
Verlag: Springer Verlag GmbH
Umfang: xiv, 606 S.
Erscheinungsdatum: 16.12.2011
Auflage: 1/2011
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 4150254 Kategorie:

Beschreibung

This monograph gives an account of the state of the art in one-dimensional dynamical systems. The subject is studied from a combinatorial, continuous, ergodic and smooth point of view. Several results in this book are new; moreover, the exciting new developments on universality and renormalization due to D. Sullivan, are presented here in full detail for the first time. The results are presented in a unified way and with complete and thorough proofs. The study of circle maps, interval and holomorphic maps of the Riemann sphere are all shown to be based on similar principles. With this book, the reader is able to quickly get to the frontier of this exciting subject without studying many inaccessible papers.

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E-Mail: juergen.hartmann@springer.com

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