Cyclic renormalization and automorphism groups of rooted trees / Hyman Bass, Maria Victoria Otero-Espinar, Daniel Rockmore, ...[et al.]

Auteur: Bass, Hyman (1932-) - AuteurCo-auteur: Otero-Espinar, Victoria - Auteur ; Rockmore, Daniel N. (1961-) - AuteurType de document: Livre numériqueCollection: Lecture notes in mathematics, (Online) ; 1621Langue: anglaisÉditeur: Berlin : Springer, 1996 ISBN: 9783540605959 ISSN: 1617-9692Note: This monograph deals with the concept of renormalization in dynamical systems from the point of view of group theory. It is divided into an introduction, an overview of every chapter and four chapters. The first two chapters introduce the notion of renormalization and interval renormalization of dynamical systems, and use the concept of itinerary in order to study the interval renormalizations. Chapters III and IV deal with automorphism groups of rooted trees and are essentially group-theoretic. ... (MathSciNet) Sujets MSC: 37Exx Dynamical systems and ergodic theory -- Low-dimensional dynamical systems
20E22 Group theory and generalizations -- Structure and classification of infinite or finite groups -- Extensions, wreath products, and other compositions
20F38 Group theory and generalizations -- Special aspects of infinite or finite groups -- Other groups related to topology or analysis
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This monograph deals with the concept of renormalization in dynamical systems from the point of view of group theory. It is divided into an introduction, an overview of every chapter and four chapters. The first two chapters introduce the notion of renormalization and interval renormalization of dynamical systems, and use the concept of itinerary in order to study the interval renormalizations. Chapters III and IV deal with automorphism groups of rooted trees and are essentially group-theoretic. ... (MathSciNet)

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