Cyclic Renormalization And Automorphism Groups Of Rooted Trees

 ( Book Product ) 

The theme of the monograph is an interplay between dynamical systems and group theory

• Cyclic Renormalization And Automorphism Groups Of Rooted Trees available on March 26 2017 from Indigo for 64.95
  
• ISBN bar code 9783540605959 ξ1 registered March 26 2017
  
• Product category is Book

• Sku # 978354060595
  

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 interest for its relevance to the description of the transition to chaos and of the Mandelbrot set. The normal subgroup structure of the automorphism group of such spherically homogeneous rooted trees is investigated in some detail. This work will be of interest to researchers in both dynamical systems and group theory.

^ Cyclic Renormalization And Automorphism Groups Of Rooted Trees Indigo. ISBN 9783540605959 (revised Mar 2017)