Ergodic theory, symbolic dynamics, and hyperbolic spaces
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Ergodic theory, symbolic dynamics, and hyperbolic spaces

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Published by Oxford University Press in Oxford, New York .
Written in English

Subjects:

  • Ergodic theory.,
  • Symbolic dynamics.,
  • Geometry, Hyperbolic.

Book details:

Edition Notes

Includes bibliographical references.

Statementedited by Tim Bedford, Michael Keane, Caroline Series.
SeriesOxford science publications
ContributionsBedford, T., Keane, M. S., Series, Caroline.
Classifications
LC ClassificationsQA611.5 .E74 1991
The Physical Object
Paginationxv, 369 p. :
Number of Pages369
ID Numbers
Open LibraryOL1888312M
ISBN 10019853390X, 0198596855
LC Control Number90049666

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  Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces by Michael Keane, , available at Book Depository with free delivery worldwide.2/5(1). 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. Introduction. 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. Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory.

In the 's Claude Shannon used sequence spaces to describe infor mation channels. Since that time symbolic dynamics has been used in ergodic theory, topological dynamics, hyperbolic dynamics. symbolic dynamics and hyperbolic spaces oxford science publications by tim bedford editor michael keane editor caroline series editor 0 more isbn 13 ergodic theory symbolic dynamics and hyperbolic spaces oxford science publications amazones tim bedford etc michael keane libros en idiomas extranjeros buy ergodic. malism" on compact spaces; this is carried out in chapter two. In the third chapter Axiom A di eomorphisms are introduced and their symbolic dynam-ics constructed: this states how they are related to shift spaces. In the nal chapter this symbolic dynamics is applied to the ergodic theory . portant tools in hyperbolic dynamics [Bow], are fundamental units for constructions in ergodic theory and topological dynamics [DGS], and provide the natural setting for applications bf symbolic dynamics to ma- trices [Boy] and coding. Section 2. Coding. In computer science and engineering it .

Buy Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces (Oxford Science Publications) by Bedford, Tim, etc., Keane, Michael (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders. 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 Download PDF Symbolic Dynamics and Hyperbolic Groups Authored by Michel. For the ergodic properties of the Morse (–Thue) system, see e.g. ; it is uniquely ergodic,. Other publications dealing directly or indirectly with the ergodic theory of shift systems are,,,,. A2) Symbolic dynamics in the broad sense rests on the following principle. 'This book can be used as a guide to modern ergodic theory and dynamics. It can be used by graduate students and by researchers in different areas, since the contents of the book range from elementary results to modern theories.' Source: EMS.