Fixed Point of the Parabolic Renormalization Operator - Couverture souple

Lanford III III, Oscar E. E.; Yampolsky, Michael

 
9783319117065: Fixed Point of the Parabolic Renormalization Operator
Couverture souple
ISBN 10 : 3319117068 ISBN 13 : 9783319117065
Editeur : Springer, 2014

Synopsis

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 expertsin the field as well as graduate students wishing to explore one of the frontiers of modern complex dynamics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2014
Langue
anglais
ISBN 10 
3319117068
ISBN 13 
9783319117065
Reliure
Broché
Nombre de pages
120
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9783319117089: Fixed Point of the Parabolic Renormalization Operator

Edition présentée

ISBN 10 :  3319117084 ISBN 13 :  9783319117089
Editeur : Springer, 2014
Couverture souple