Cyclic Renormalization and Automorphism Groups of Rooted Trees

by Hyman Bass

Book Overview

The theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study cyclic renormalization, a phenomenon which appears naturally for some interval dynamical systems. A possibly infinite hierarchy of such renormalizations is naturally represented by a rooted tree, together with a spherically transitive automorphism; the infinite case corresponds to maps with an invariant Cantor set, a class of particular...

• Format: Paperback
• Language: English
• ISBN: 3540605959
• ISBN13: 9783540605959
• Release Date: December 1995
• Publisher: Springer
• Length: 174 Pages
• Weight: 0.62 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"