Name: cyclic renormalization and automorphism groups of rooted trees
Price: 41.71 EUR
Availability: InStock
Author: bass,otero-espinar,rockmore,tresser
ISBN: 9783540605959

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portada cyclic renormalization and automorphism groups of rooted trees

cyclic renormalization and automorphism groups of rooted trees

Type

Physical Book

Publisher

Springer

Author

bass,otero-espinar,rockmore,tresser

Language

English

Pages

163

ISBN

3540605959

ISBN13

9783540605959

Synopsis "cyclic renormalization and automorphism groups of rooted trees"

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.