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

Coornaert, Michel

 
9783540564997: Symbolic Dynamics and Hyperbolic Groups (Lecture Notes in Mathematics): 1539
Softcover
ISBN 10: 3540564993 ISBN 13: 9783540564997
Verlag: Springer, 1993

Inhaltsangabe

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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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
1993
Sprache
Englisch
ISBN 10 
3540564993
ISBN 13 
9783540564997
Einband
Tapa blanda
Anzahl der Seiten
148
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9780387564999: Symbolic Dynamics and Hyperbolic Groups (Lecture Notes in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387564993 ISBN 13:  9780387564999
Verlag: Springer Verlag, 1993
Softcover