Symbolic Dynamics and Hyperbolic Groups (Record no. 30886)

000 -LEADER
fixed length control field 03160nam a22005415i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540475736
-- 978-3-540-47573-6
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.34
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Coornaert, Michel.
245 10 - TITLE STATEMENT
Title Symbolic Dynamics and Hyperbolic Groups
Statement of responsibility, etc by Michel Coornaert, Athanase Papadopoulos.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1993.
300 ## - PHYSICAL DESCRIPTION
Number of Pages VIII, 140 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Group theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Global analysis (Mathematics).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Cell aggregation
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Manifolds and Cell Complexes (incl. Diff.Topology).
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Group Theory and Generalizations.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Papadopoulos, Athanase.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/BFb0092577
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1993.
336 ## -
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-- txt
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338 ## -
-- online resource
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0075-8434 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK1592 http://dx.doi.org/10.1007/BFb0092577 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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