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008 121227s1993 gw | s |||| 0|eng d
020 _a9783540475736
_9978-3-540-47573-6
024 7 _a10.1007/BFb0092577
_2doi
050 4 _aQA613-613.8
050 4 _aQA613.6-613.66
072 7 _aPBMS
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072 7 _aMAT038000
_2bisacsh
072 7 _aPBMS
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072 7 _aPBPH
_2thema
082 0 4 _a514.34
_223
100 1 _aCoornaert, Michel.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSymbolic Dynamics and Hyperbolic Groups
_h[electronic resource] /
_cby Michel Coornaert, Athanase Papadopoulos.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1993.
300 _aVIII, 140 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1539
505 0 _aA 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 _aGromov'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 _aCell aggregation
_xMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aGroup theory.
650 1 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
650 2 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
700 1 _aPapadopoulos, Athanase.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540564997
776 0 8 _iPrinted edition:
_z9783662187852
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1539
856 4 0 _uhttps://doi.org/10.1007/BFb0092577
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11628
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