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

Coornaert, Michel; Papadopoulos, Athanase

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

Synopsis

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.

"synopsis" may belong to another edition of this title.

Product Description

Gromov's theory of hyperbolic groups has had a big impact on combinatorial group theory and has connections with such branches of mathematics as differential geometry, representation theory, ergodic theory and dynamical systems. This book elaborates on some of Gromov's ideas on hyperbolic spaces and hyperbolic groups in relation to 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 often chaotic, both as a topological space and as a dynamical system, and a description of this boundary and its 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 on symbolic dynamics.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1993
Language
English
ISBN 10 
3540564993
ISBN 13 
9783540564997
Binding
Paperback
Number of pages
148

Other Popular Editions of the Same Title

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

Featured Edition

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