Oscar E Lanford III

(Author)

Fixed Point of the Parabolic Renormalization Operator (2014)Paperback - 2014, 17 November 2014

Fixed Point of the Parabolic Renormalization Operator (2014)
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Part of Series
Springerbriefs in Mathematics
Print Length
111 pages
Language
English
Publisher
Springer
Date Published
17 Nov 2014
ISBN-10
3319117068
ISBN-13
9783319117065

Description

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.

Product Details

Authors:
Oscar E Lanford IIIMichael Yampolsky
Book Edition:
2014
Book Format:
Paperback
Country of Origin:
NL
Date Published:
17 November 2014
Dimensions:
23.39 x 15.6 x 0.64 cm
ISBN-10:
3319117068
ISBN-13:
9783319117065
Language:
English
Location:
Cham
Pages:
111
Publisher:
Weight:
176.9 gm

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