| 书目名称 | Fixed Point of the Parabolic Renormalization Operator |
| 编辑 | Oscar E. Lanford III,Michael Yampolsky |
| 视频video | |
| 概述 | The first detailed introduction into one of the cutting-edge subjects of modern Complex Dynamics.A new numerical approach to computing Fatou coordinates of a parabolic germ.Text illustrated with many |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | .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 expertsin the field as well as graduate students wishing to explore one of the frontiers of modern complex dynamics.. |
| 出版日期 | Book 2014 |
| 关键词 | Ecalle-Voronin invariant; Fatou coordinates; Inou-Shishikura fixed point; analytic map; complex dynamics |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-11707-2 |
| isbn_softcover | 978-3-319-11706-5 |
| isbn_ebook | 978-3-319-11707-2Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | The Author(s) 2014 |
发表于 2025-3-21 18:45:45
