Fixed Point of the Parabolic Renormalization Operator

by Michael Yampolsky and Oscar E. Lanford III

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...

• Format: Paperback
• Language: English
• ISBN: 3319117068
• ISBN13: 9783319117065
• Release Date: November 2014
• Publisher: Springer
• Length: 111 Pages
• Weight: 0.39 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"