TY - BOOK AU - Jiang,Yunping TI - Renormalization and geometry in one-dimensional and complex dynamics T2 - Advanced series in nonlinear dynamics SN - 9810223269 U1 - 515.352 J61 PY - 1996/// CY - Singapore PB - World Scientific KW - Renormalization group KW - Geometry KW - Mathematical physics N1 - 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 N2 - 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 ER -