Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set
This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston's concept of a quadratic invariant lamination and on symbolic descriptions of the angle...
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| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Серии: | Lecture notes in mathematics
1732 |
| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Invariant factors, Julia equivalences, and the (abstract) Mandelbrot set, Karsten Keller, 2000, Berlin, Springer, 1 vol. (X-205 p.), Lecture notes in mathematics, 3-540-67434-9 • Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set, Texte imprimé, 9783662206041 |
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| 100 | 1 | |a Keller, Karsten, |d 1961- | |
| 245 | 1 | 0 | |a Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set |c Karsten Keller. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1732 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 1. Introduction: Quadratic iteration and Julia equivalences. The Mandelbrot set -- 2. Abstract Julia sets: Symbolic dynamics of the angle-doubling map. Invariant laminations. Julia equivalences -- 3. The Abstract Mandelbrot set: The Abstract Mandelbrot set - an atlas of Abstract Julia sets. The ordered Abstract Mandelbrot set. Renormalization. Correspondence and Translation Principles -- 4. Abstract and concrete theory: Quadratic iteration. Miscellaneous. Appendix: Invariant and completely invariant factors. Simple statements. Shift-invariant factors. Further interesting examples. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston's concept of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. The theory obtained is illustrated in the complex plane. It is used to give rigorous proofs of some well-known and some partially new statements on the structure of the Mandelbrot set. The text is intended for graduate students and researchers. Some elementary knowledge in topology and in functions of one complex variable is assumed. | ||
| 650 | |a Dynamique symbolique | ||
| 650 | |a Dynamique topologique | ||
| 650 | |a Fonctions analytiques | ||
| 650 | |a Fonctions d'une variable complexe | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Topologie | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 058074449 |t Invariant factors, Julia equivalences, and the (abstract) Mandelbrot set |f Karsten Keller |d 2000 |c Berlin |n Springer |p 1 vol. (X-205 p.) |s Lecture notes in mathematics |z 3-540-67434-9 | |
| 776 | 0 | |t Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set |b Texte imprimé |z 9783662206041 | |
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| 856 | 4 | |5 180339901:754013332 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0103999 |z Accès INSA CVL | |
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