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Symbolic dynamcis [as printed] and hyperbolic groups
1 online resource (viii, 138 pages) : illustrations.
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.
Michel Coornaert, Athanase Papadopoulos.
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. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
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Includes bibliographical references and index.
Symbolic dynamcis [i.e. dynamics] and hyperbolic groups
Berlin ; New York : Springer-Verlag, ©1993
Lecture notes in mathematics (Springer-Verlag) ; 1539
9783540564997 (Berlin : acid-free paper)
9780387564999 (New York : acid-free paper)