Cover Image

Symbolic dynamcis [as printed] and hyperbolic groups /

Show other versions (1)

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 hype...

Full description

Bibliographic Details
Main Author: Coornaert, M. (Michel)
Corporate Author: SpringerLink (Online service)
Other Authors: Papadopoulos, Athanase
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1993]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1539.
Subjects:
Global differential geometry.
Hyperbolic groups.
Differentiable dynamical systems.
Topological dynamics.
Gromov.
système type fini.
groupe hyperbolique.
espace hyperbolique.
système dynamique.
géométrie hyperbolique.
Géométrie différentielle globale.
Groupes hyperboliques.
Dynamique différentiable.
Dynamique topologique.
Hyperbolische ruimten.
Gewone differentiaalvergelijkingen.
Espaces hyperboliques.
Hyperbolische Gruppe.
Dynamisches System.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (viii, 138 pages) : illustrations.
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references and index.
ISBN:9783540475736 (electronic bk.)
3540475737 (electronic bk.)