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Symbolic dynamics : one-sided, two-sided, and countable state Markov shifts

Author: Bruce Kitchens
Publisher: Berlin ; New York : Springer, ©1998.
Series: Universitext.
Edition/Format:   Print book : EnglishView all editions and formats
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Bruce Kitchens
ISBN: 3540627383 9783540627388
OCLC Number: 37606337
Description: x, 252 pages : illustrations ; 24 cm.
Contents: Ch. 1. Background and Basics --
Ch. 2. Topological Conjugacy --
Ch. 3. Automorphisms --
Ch. 4. Embeddings and Factor Maps --
Ch. 5. Almost-Topological Conjugacy --
Ch. 6. Further Topics --
Ch. 7. Countable State Markov Shifts.
Series Title: Universitext.
Responsibility: Bruce P. Kitchens.
More information:

Abstract:

They coined the term symbolic dynamics and began to study sequence spaces with the shift transformation as dynamical systems. Since that time symbolic dynamics has been used in ergodic theory,  Read more...

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"...a clear and efficient treatment of an intrinsically interesting subject and would be a valuable addition to any dynamicists mathematical library." - UK Nonlinear News

 
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