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Cyclic Renormalization and Automorphism Groups of Rooted Trees

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Cyclic Renormalization and Automorphism Groups of Rooted Trees - Bass, Hyman, and Otero-Espinar, Maria V, and Rockmore, Daniel
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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 ...

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Cyclic Renormalization and Automorphism Groups of Rooted Trees 1995, Springer, Berlin, Heidelberg

ISBN-13: 9783540605959

1996 edition

Trade paperback