LEADER 03255nam 2200625 450 001 996466611003316 005 20220915224739.0 010 $a3-540-47573-7 024 7 $a10.1007/BFb0092577 035 $a(CKB)1000000000437140 035 $a(SSID)ssj0000327063 035 $a(PQKBManifestationID)12090972 035 $a(PQKBTitleCode)TC0000327063 035 $a(PQKBWorkID)10297487 035 $a(PQKB)10256343 035 $a(DE-He213)978-3-540-47573-6 035 $a(MiAaPQ)EBC5591905 035 $a(Au-PeEL)EBL5591905 035 $a(OCoLC)1066184357 035 $a(MiAaPQ)EBC6842830 035 $a(Au-PeEL)EBL6842830 035 $a(PPN)155188364 035 $a(EXLCZ)991000000000437140 100 $a20220915d1993 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSymbolic dynamics and hyperbolic groups /$fMichel Coornaert and Athanase Papadopoulos 205 $a1st ed. 1993. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1993] 210 4$dİ1993 215 $a1 online resource (VIII, 140 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1539 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-56499-3 311 $a3-540-56499-3 327 $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. 330 $aGromov's theory of hyperbolic groups have had a big impact in combinatorial group theory and has deep connections with many branches of mathematics suchdifferential geometry, representation theory, ergodic theory and dynamical systems. This book is an elaboration on some ideas of Gromov on hyperbolic spaces and hyperbolic groups in relation with symbolic dynamics. Particular attention is paid to the dynamical system defined by the action of a hyperbolic group on its boundary. The boundary is most oftenchaotic both as a topological space and as a dynamical system, and a description of this boundary and the action is given in terms of subshifts of finite type. The book is self-contained and includes two introductory chapters, one on Gromov's hyperbolic geometry and the other one on symbolic dynamics. It is intended for students and researchers in geometry and in dynamical systems, and can be used asthe basis for a graduate course on these subjects. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1539 606 $aDifferentiable dynamical systems 606 $aGlobal analysis (Mathematics)$vCongresses 615 0$aDifferentiable dynamical systems. 615 0$aGlobal analysis (Mathematics) 676 $a516.362 700 $aCoornaert$b M$g(Michel),$059545 702 $aPapadopoulos$b Athanase 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466611003316 996 $aSymbolic Dynamics and Hyperbolic Groups$92831799 997 $aUNISA