Fixed Point of the Parabolic Renormalization Operator / by Oscar E. Lanford III, Michael Yampolsky
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2014 |
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| 書誌ID | OB01024673 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 1 Introduction -- 2 Local dynamics of a parabolic germ -- 3 Global theory -- 4 Numerical results -- 5 For dessert: several amusing examples -- Index. License restrictions may limit access Summary: This monograph grew out of the authors' efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic maps with a maximal domain of analyticity and rigid covering properties and presents a numerical scheme for computing parabolic renormalization of a germ, which is used to compute the Inou-Shishikura renormalization fixed point. Inside, readers will find a detailed introduction into the theory of parabolic bifurcation, Fatou coordinates, Écalle-Voronin conjugacy invariants of parabolic germs, and the definition and basic properties of parabolic renormalization. The systematic view of parabolic renormalization developed in the book and the numerical approach to its study will be interesting to both experts in the field as well as graduate students wishing to explore one of the frontiers of modern complex dynamics |
| 著者標目 | *Lanford III, Oscar E Yampolsky, Michael SpringerLink (Online service) |
| 統一書名標目 | SpringerBriefs in Mathematics, |
| 件 名 | LCSH:Mathematics LCSH:Differentiable dynamical systems LCSH:Functions of complex variables LCSH:Numerical analysis FREE:Mathematics FREE:Dynamical Systems and Ergodic Theory FREE:Functions of a Complex Variable FREE:Numerical Analysis |
| 分 類 | LCC:QA313 DC23:515.39 DC23:515.48 |
| 巻冊次 | ISBN:9783319117072 RefWorks出力（各巻） print ; ISBN:9783319117065 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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