|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910299991703321 |
|
|
Autore |
Lanford III Oscar E |
|
|
Titolo |
Fixed Point of the Parabolic Renormalization Operator [[electronic resource] /] / by Oscar E. Lanford III, Michael Yampolsky |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2014.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (119 p.) |
|
|
|
|
|
|
Collana |
|
SpringerBriefs in Mathematics, , 2191-8198 |
|
|
|
|
|
|
Disciplina |
|
510 |
515.39 |
515.48 |
515.9 |
518 |
|
|
|
|
|
|
|
|
Soggetti |
|
Dynamics |
Ergodic theory |
Functions of complex variables |
Numerical analysis |
Dynamical Systems and Ergodic Theory |
Functions of a Complex Variable |
Numerical Analysis |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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- |
|
|
|
|