Cyclic Renormalization and Automorphism Groups of Rooted Trees is popular PDF and ePub book, written by Hyman Bass in 2006-11-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Cyclic Renormalization and Automorphism Groups of Rooted Trees can be Read Online from any device for your convenience.
Cyclic Renormalization and Automorphism Groups of Rooted Trees Book PDF Summary
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 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.
Detail Book of Cyclic Renormalization and Automorphism Groups of Rooted Trees PDF
- Author : Hyman Bass
- Release : 14 November 2006
- Publisher : Springer
- ISBN : 9783540478126
- Genre : Mathematics
- Total Page : 179 pages
- Language : English
- PDF File Size : 18,5 Mb
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