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- catalog abstract "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.".
- catalog alternative "Symbolic dynamcis and hyperbolic groups".
- catalog alternative "Symbolic dynamics and hyperbolic groups".
- catalog contributor b4266597.
- catalog contributor b4266598.
- catalog created "c1993.".
- catalog date "1993".
- catalog date "c1993.".
- catalog dateCopyrighted "c1993.".
- catalog description "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.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "viii, 138 p. :".
- catalog hasFormat "Symbolic dynamcis [i.e. dynamics] and hyperbolic groups.".
- catalog identifier "0387564993 (New York : acid-free)".
- catalog identifier "3540564993 (Berlin : acid-free) :".
- catalog isFormatOf "Symbolic dynamcis [i.e. dynamics] and hyperbolic groups.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1539.".
- catalog isPartOf "Lecture notes in mathematics ; 1539".
- catalog issued "1993".
- catalog issued "c1993.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Symbolic dynamcis [i.e. dynamics] and hyperbolic groups.".
- catalog subject "510 s 516.3/62 20".
- catalog subject "Cell aggregation Mathematics.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Global differential geometry.".
- catalog subject "Group theory.".
- catalog subject "Hyperbolic groups.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1539 QA670".
- catalog subject "Topological dynamics.".
- catalog title "Symbolic dynamcis and hyperbolic groups".
- catalog title "Symbolic dynamics and hyperbolic groups / Michel Coornaert, Athanase Papadopoulos.".
- catalog title "Symbolic dynamics and hyperbolic groups".
- catalog type "text".