Non-Fiction Books:

Cyclic Renormalization and Automorphism Groups of Rooted Trees

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Cyclic Renormalization and Automorphism Groups of Rooted Trees by Hyman Bass
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Description

The theme of this 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 automorhpism groups of such "spherically homogenous" rooted trees is investigated in detail. This work should be of interest to researchers in both dynamical systems and group theory.
Release date Australia
December 14th, 1995
Country of Publication
Germany
Edition
1996 ed.
Illustrations
XXII, 174 p.
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Pages
174
Dimensions
156x234x10
ISBN-13
9783540605959
Product ID
3840462

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