| 書目名稱 | Cyclic Renormalization and Automorphism Groups of Rooted Trees |
| 編輯 | Hyman Bass,Maria Victoria Otero-Espinar,Charles Tr |
| 視頻video | http://file.papertrans.cn/242/241993/241993.mp4 |
| 叢書名稱 | Lecture Notes in Mathematics |
| 圖書封面 |  |
| 描述 | The theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study "cyclic renormalization", a phenomenon which appears naturally for some interval dynamical systems. A possibly infinite hierarchy of such renormalizations is naturally represented by a rooted tree, together with a "spherically transitive" automorphism; the infinite case corresponds to maps with an invariant Cantor set, a class of particular interest for its relevance to the description of the transition to chaos and of the Mandelbrot set. The normal subgroup structure of the automorphism group of such "spherically homogeneous" rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory. |
| 出版日期 | Book 1996 |
| 關鍵詞 | Group theory; automorphism; calculus; dynamical systems |
| 版次 | 1 |
| doi | https://doi.org/10.1007/BFb0096321 |
| isbn_softcover | 978-3-540-60595-9 |
| isbn_ebook | 978-3-540-47812-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 1996 |
|Archiver|手機版|小黑屋|
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