Cyclic Renormalization and Automorphism Groups of Rooted Trees: 1621 - Brossura

Bass, Hyman

Brossura

ISBN 10: 3540605959 ISBN 13: 9783540605959

Casa editrice: Springer, 2009

Riassunto

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.

Su questo libro

Contenuti

Cyclic renormalization.- Itinerary calculus and renormalization.- Spherically transitive automorphisms of rooted trees.- Closed normal subgroups of Aut(X(q)).

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540605959
• ISBN 13: 9783540605959
• Rilegatura: Copertina flessibile
• Numero di pagine: 196
• Contatto del produttore: non disponibile
• Persona responsabile: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Germania