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Symbolic Dynamics and Hyperbolic Groups (Paperback, 1993 ed.)
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Symbolic Dynamics and Hyperbolic Groups (Paperback, 1993 ed.)
Series: Lecture Notes in Mathematics, 1539
Expected to ship within 10 - 15 working days
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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.
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