Cyclic Renormalization and Automorphism Groups of Rooted Trees (Paperback, 1996 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1621
Release date:	December 1995
First published:	1996
Authors:	Hyman Bass • Maria V. Otero-Espinar • Daniel Rockmore • Charles Tresser
Dimensions:	235 x 155 x 10mm (L x W x T)
Format:	Paperback
Pages:	174
Edition:	1996 ed.
ISBN-13:	978-3-540-60595-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-540-60595-9
Barcode:	9783540605959

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!