Fixed Point of the Parabolic Renormalization Operator

• Main Authors: Lanford III, Oscar E. (Author), Yampolsky, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Functions of complex variables.; Numerical analysis.; Dynamical Systems and Ergodic Theory.; Functions of a Complex Variable.; Numerical Analysis.

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....

Table of Contents:

• 1 Introduction
• 2 Local dynamics of a parabolic germ
• 3 Global theory
• 4 Numerical results
• 5 For dessert: several amusing examples
• Index.