ENGLISH

Symbolic Dynamics and Hyperbolic Groups

By Michel Coornaert , Athanase Papadopoulos

Book information

Publisher
Springer
Year
1993
ISBN
9783540564997, 3540564993
LCC
QA3 .L28 no. 1539,QA670 .L28 no. 1539
Open Library ID
OL1401521M
Language
english
Format
DJVU
Filesize
496 kB (508210 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
146\146
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

Similar books