Renormalization and geometry in one-dimensional and complex dynamics / Yunping Jiang.
Material type:
TextSeries: Advanced series in nonlinear dynamics ; v 10Publication details: Singapore : World Scientific, c1996.Description: xv, 309 p. : ill. ; 23 cmISBN: - 9810223269
- 515.352 J61 23
| 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 |
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| 515.352 H355 Handbook of dynamical systems | 515.352 H875 Differential equations : a dynamical systems approach | 515.352 Il28 Spectral methods in soliton equations | 515.352 J61 Renormalization and geometry in one-dimensional and complex dynamics / | 515.352 J82 Nonlinear ordinary differential equations: problems and solutions | 515.352 K17 Understanding | 515.352 K19 Introduction to the modern theory of dynamical systems |
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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