Band 1621
Cyclic Renormalization and Automorphism Groups of Rooted Trees
Aus der Reihe
Lecture Notes in Mathematics
-
- Englisch ausgewählt
Fr. 52.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
14.12.1995
Abbildungen
XXII, 174 p.
Verlag
Springer BerlinSeitenzahl
174
Maße (L/B/H)
23.5/15.5/1.1 cm
Gewicht
306 g
Auflage
1996
Sprache
Englisch
ISBN
978-3-540-60595-9
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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