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Symbolic Dynamics and Hyperbolic Groups

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...

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Bibliographic Details
Main Authors: Coornaert, Michel, Papadopoulos, Athanase (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1993, 1993
Edition:1st ed. 1993
Series:Lecture Notes in Mathematics
Subjects:
Complex Manifolds
Group Theory
Mathematical Analysis
Analysis
Manifolds And Cell Complexes (incl. Diff.topology)
Group Theory And Generalizations
Analysis (mathematics)
Manifolds (mathematics)
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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

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