000 | 03456nam a22005415i 4500 | ||
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001 | 978-3-540-47573-6 | ||
003 | DE-He213 | ||
005 | 20190213151719.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1993 gw | s |||| 0|eng d | ||
020 |
_a9783540475736 _9978-3-540-47573-6 |
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024 | 7 |
_a10.1007/BFb0092577 _2doi |
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050 | 4 | _aQA613-613.8 | |
050 | 4 | _aQA613.6-613.66 | |
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_aPBMS _2bicssc |
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_aMAT038000 _2bisacsh |
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_aPBMS _2thema |
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_aPBPH _2thema |
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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. |
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300 |
_aVIII, 140 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 |
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912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
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