Maria V. Otero-Espinar - Böcker
Visar alla böcker från författaren Maria V. Otero-Espinar. Handla med fri frakt och snabb leverans.
1 produkt
1 produkt
Del 1621 - Lecture Notes in Mathematics
Cyclic Renormalization and Automorphism Groups of Rooted Trees
Häftad, Engelska, 1995
377 kr
Skickas inom 10-15 vardagar
The theme of this 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 automorhpism groups of such "spherically homogenous" rooted trees is investigated in detail. This work should be of interest to researchers in both dynamical systems and group theory.