Symbolic Dynamics and Hyperbolic Groups (Lecture Notes in Mathematics)
by Michel Coornaert and Athanase Papadopoulos
List Price: $26.00 $26.00At Amazon on 12-6-2008
Paperback: 138 pages
Publisher: Springer; 1 edition April 8, 1993
Language: English
ISBN-10: 3540564993
ISBN-13: 978-3540564997
Product Dimensions:
9.2 x 6.1 x 0.3 inches
Shipping Weight: 7.7 ounces
Product 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.
Symbolic Dynamics and Hyperbolic Groups (Lecture Notes in Mathematics)
Available from Amazon Price: $26.00 Updated on 12-6-2008
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