Fixed Point of the Parabolic Renormalization Operator [[electronic resource] /] / by Oscar E. Lanford III, Michael Yampolsky
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| Autore: |
Lanford III Oscar E
|
| Titolo: |
Fixed Point of the Parabolic Renormalization Operator [[electronic resource] /] / by Oscar E. Lanford III, Michael Yampolsky
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Edizione: | 1st ed. 2014. |
| Descrizione fisica: | 1 online resource (119 p.) |
| Disciplina: | 510 |
| 515.39 | |
| 515.48 | |
| 515.9 | |
| 518 | |
| Soggetto topico: | Dynamics |
| Ergodic theory | |
| Functions of complex variables | |
| Numerical analysis | |
| Dynamical Systems and Ergodic Theory | |
| Functions of a Complex Variable | |
| Numerical Analysis | |
| Persona (resp. second.): | YampolskyMichael |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 1 Introduction -- 2 Local dynamics of a parabolic germ -- 3 Global theory -- 4 Numerical results -- 5 For dessert: several amusing examples -- Index. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Fixed Point of the Parabolic Renormalization Operator |
| ISBN: | 3-319-11707-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910299991703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in Mathematics, . 2191-8198