Symbolic Dynamics : One-sided, Two-sided and Countable State Markov Shifts /

This is a thorough introduction to the dynamics of one-sided and two-sided Markov shifts on a finite alphabet and to the basic properties of Markov shifts on a countable alphabet. These are the symbolic dynamical systems defined by a finite transition rule. The basic properties of these systems are...

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Bibliographic Details
Main Author: Kitchens, Bruce P.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1998.
Series:Universitext,
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:This is a thorough introduction to the dynamics of one-sided and two-sided Markov shifts on a finite alphabet and to the basic properties of Markov shifts on a countable alphabet. These are the symbolic dynamical systems defined by a finite transition rule. The basic properties of these systems are established using elementary methods. The connections to other types of dynamical systems, cellular automata and information theory are illustrated with numerous examples. The book is written for graduate students and others who use symbolic dynamics as a tool to study more general systems.
Item Description:Electronic resource.
Physical Description:1 online resource (ix, 252 pages 65 illustrations)
Bibliography:Includes bibliographical references (pages [241]-246) and indexes.
ISBN:9783642588228 (electronic bk.)
3642588220 (electronic bk.)
ISSN:0172-5939