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Record Nr. |
UNINA9910299991703321 |
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Autore |
Lanford III Oscar E |
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Titolo |
Fixed Point of the Parabolic Renormalization Operator / / by Oscar E. Lanford III, Michael Yampolsky |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
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ISBN |
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Edizione |
[1st ed. 2014.] |
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Descrizione fisica |
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1 online resource (119 p.) |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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510 |
515.39 |
515.48 |
515.9 |
518 |
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Soggetti |
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Dynamics |
Ergodic theory |
Functions of complex variables |
Numerical analysis |
Dynamical Systems and Ergodic Theory |
Functions of a Complex Variable |
Numerical Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1 Introduction -- 2 Local dynamics of a parabolic germ -- 3 Global theory -- 4 Numerical results -- 5 For dessert: several amusing examples -- Index. |
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Sommario/riassunto |
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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- |
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