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Symbolic Dynamics and Hyperbolic Groups / by Michel Coornaert, Athanase Papadopoulos
(Lecture Notes in Mathematics. ISSN:16179692 ; 1539)
版 | 1st ed. 1993. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 1993 |
大きさ | VIII, 140 p : online resource |
著者標目 | *Coornaert, Michel author Papadopoulos, Athanase author SpringerLink (Online service) |
件 名 | LCSH:Manifolds (Mathematics) LCSH:Mathematical analysis LCSH:Group theory FREE:Manifolds and Cell Complexes FREE:Analysis FREE:Group Theory and Generalizations |
一般注記 | 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 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 HTTP:URL=https://doi.org/10.1007/BFb0092577 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540475736 |
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EB00210113 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA613-613.8 DC23:514.34 |
書誌ID | 4000109423 |
ISBN | 9783540475736 |
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※2017年9月4日以降