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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Cyclic Renormalization and Automorphism Groups of Rooted Trees

Cyclic Renormalization and Automorphism Groups of Rooted Trees

Otero-Espinar, Maria V.
Rockmore, Daniel
Bass, Hyman

Paperback

Series: Lecture Notes in Mathematics, Book 1621

General Mathematics

ISBN10: 3540605959
ISBN13: 9783540605959
Publisher: Springer
Published: Dec 14 1995
Pages: 174
Weight: 0.62
Height: 0.42 Width: 6.14 Depth: 9.21
Language: English
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.

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