Symbolic Dynamics
Springer Berlin (Verlag)
978-3-540-62738-8 (ISBN)
1. Background and Basics.-
1.1 Subshifts of Finite Type.-
1.2 Examples.-
1.3 Perron-Frobenius Theory.-
1.4 Basic Dynamics.- Notes.- References.- 2. Topology Conjugacy.-
2.1 Decomposition of Topological Conjugacies.-
2.2 Algebraic Consequences of Topological Conjugacy.- Notes.- References.- 3. Automorphisms.-
3.1 Automorphisms.-
3.2 Automorphisms as Conjugacies.-
3.3 Subgroups of the Automorphism Group.-
3.4 Actions of Automorphisms.-
3.5 Summary.- Notes.- References.- 4. Embeddinggs and Factor Maps.-
4.1 Factor Maps.-
4.2 Finite-to-one Factor Maps.-
4.3 Special Constructions Involving Factor Maps.-
4.4 Subsystems and Infinite-to-One Factor Maps.- Notes.- References.- 5. Almost-Topological Conjugacy.-
5.1 Reducible Subshifts of Finite Type.-
5.2 Almost-Topological Conjugacy.- Notes.- References.- 6. Further Topics.-
6.1 Sofic Systems.-
6.2 Markov Measures and the Maximal Measure.-
6.3 Markov Subgroups.-
6.4 Cellular Automata.-
6.5 Channnel Codes.- Notes.- References.- 7. Countable State Markov Shifts.-
7.1 Perron-Frobenius Theory.-
7.2 Basic Symbolic Dynamics.- Notes.- References.- Name Index.
"...a clear and efficient treatment of an intrinsically interesting subject and would be a valuable addition to any dynamicists mathematical library." - UK Nonlinear News
"...a clear and efficient treatment of an intrinsically interesting subject and would be a valuable addition to any dynamicists mathematical library." - UK Nonlinear News
Erscheint lt. Verlag | 14.11.1997 |
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Reihe/Serie | Universitext |
Zusatzinfo | X, 254 p. 2 illus. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 400 g |
Themenwelt | Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Schlagworte | Automata • Construction • countable state Markov shift • differential equation • Dynamische Systeme • Information Theory • Markov • Markov shift • Markov Shifts • Markov Shifts auf abzählbarem Zustandsraum • Markov-Verschiebungen • Maximum • measure • subshift of finite type • symbolic dynamics • symbolische Dynamik • Teilshifts endlichen Typs |
ISBN-10 | 3-540-62738-3 / 3540627383 |
ISBN-13 | 978-3-540-62738-8 / 9783540627388 |
Zustand | Neuware |
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