Symbolic Dynamics and Hyperbolic Groups (Lecture Notes in Mathematics): 1539 - Brossura

Coornaert, Michel

Brossura

ISBN 10: 3540564993 ISBN 13: 9783540564997

Casa editrice: Springer, 1993

Riassunto

Gromov's theory of hyperbolic groups have had a big impact in combinatorial group theory and has deep connections with many branches of mathematics suchdifferential geometry, representation theory, ergodic theory and dynamical systems. This book is an elaboration on some ideas of Gromov on hyperbolic spaces and hyperbolic groups in relation with symbolic dynamics. Particular attention is paid to the dynamical system defined by the action of a hyperbolic group on its boundary. The boundary is most oftenchaotic both as a topological space and as a dynamical system, and a description of this boundary and the action is given in terms of subshifts of finite type. The book is self-contained and includes two introductory chapters, one on Gromov's hyperbolic geometry and the other one on symbolic dynamics. It is intended for students and researchers in geometry and in dynamical systems, and can be used asthe basis for a graduate course on these subjects.

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Contenuti

A quick review of Gromov hyperbolic spaces.- Symbolic dynamics.- The boundary of a hyperbolic group as a finitely presented dynamical system.- Another finite presentation for the action of a hyperbolic group on its boundary.- Trees and hyperbolic boundary.- Semi-Markovian spaces.- The boundary of a torsion-free hyperbolic group as a semi-Markovian space.

Product Description

Book by Coornaert Michel Papadopoulos Athanase

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 3540564993
• ISBN 13: 9783540564997
• Rilegatura: Copertina flessibile
• Numero di pagine: 148
• 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