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- catalog abstract "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.".
- catalog contributor b8858880.
- catalog created "1995.".
- catalog date "1995".
- catalog date "1995.".
- catalog dateCopyrighted "1995.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog extent "xxi, 163 p. :".
- catalog identifier "3540605959 (pbk. : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1621.".
- catalog isPartOf "Lecture notes in mathematics ; 1621".
- catalog issued "1995".
- catalog issued "1995.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog subject "510 s 512/.2 20".
- catalog subject "Automorphisms.".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Group theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1621 QA614.8".
- catalog title "Cyclic renormalization and automorphism groups of rooted trees / Hyman Bass ... [et al.].".
- catalog type "text".