Free Delivery Over $100
|
|
|||
|
||||
OverviewGromov's theory of hyperbolic groups has had a big impact on combinatorial group theory and has connections with such branches of mathematics as differential geometry, representation theory, ergodic theory and dynamical systems. This book elaborates on some of Gromov's ideas on hyperbolic spaces and hyperbolic groups in relation to 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 often chaotic, both as a topological space and as a dynamical system, and a description of this boundary and its 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 on symbolic dynamics. Full Product DetailsAuthor: Michel Coornaert , Athanase PapadopoulosPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 1993 ed. Volume: 1539 Dimensions: Width: 15.50cm , Height: 0.80cm , Length: 23.50cm Weight: 0.480kg ISBN: 9783540564997ISBN 10: 3540564993 Pages: 140 Publication Date: 08 March 1993 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsA 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
