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Renormalization and geometry in one-dimensional and complex dynamics / Yunping Jiang.

By: Material type: TextTextSeries: Advanced series in nonlinear dynamics ; v 10Publication details: Singapore : World Scientific, c1996.Description: xv, 309 p. : ill. ; 23 cmISBN:
  • 9810223269
Subject(s): DDC classification:
  • 515.352 J61 23
Contents:
Ch. 1. The Denjoy Distortion Principle and Renormalization -- Ch. 2. The Koebe Distortion Principle -- Ch. 3. The Geometry of One-Dimensional Maps -- Ch. 4. The Renormalization Method and Folding Mappings -- Ch. 5. The Renormalization Method and Quadratic-Like Maps -- Ch. 6. Thermodynamical Formalism and the Renormalization Operator-- Bibliography-- Notation index-- Subject index.
Summary: This book is intended to bring the reader to the frontier of this active research area which is concerned with renormalization and rigidity in one dimensional dynamics. Most recent results and techniques developed by Sullivan and others (including the authors) in the past five years for an understanding of this universality as well as the most basic and important techniques in the study of one dimensional dynamics also included here.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.352 J61 (Browse shelf(Opens below)) Available C26316
Books ISI Library, Kolkata NBHM Collection 515.352 J61 (Browse shelf(Opens below)) Available 119917
Total holds: 0

Errata slip inserted.

Includes bibliographical references (p. 293-301) and indexes.

Ch. 1. The Denjoy Distortion Principle and Renormalization --
Ch. 2. The Koebe Distortion Principle --
Ch. 3. The Geometry of One-Dimensional Maps --
Ch. 4. The Renormalization Method and Folding Mappings --
Ch. 5. The Renormalization Method and Quadratic-Like Maps --
Ch. 6. Thermodynamical Formalism and the Renormalization Operator--

Bibliography--
Notation index--
Subject index.

This book is intended to bring the reader to the frontier of this active research area which is concerned with renormalization and rigidity in one dimensional dynamics. Most recent results and techniques developed by Sullivan and others (including the authors) in the past five years for an understanding of this universality as well as the most basic and important techniques in the study of one dimensional dynamics also included here.

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