Author | Kitchens, Bruce P. author |
---|---|
Title | Symbolic Dynamics [electronic resource] : One-sided, Two-sided and Countable State Markov Shifts / by Bruce P. Kitchens |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998 |
Connect to | http://dx.doi.org/10.1007/978-3-642-58822-8 |
Descript | X, 254 p. 2 illus. online resource |
1. Background and Basics -- ยง 1.1 Subshifts of Finite Type -- ยง 1.2 Examples -- ยง 1.3 Perron-Frobenius Theory -- ยง 1.4 Basic Dynamics -- Notes -- References -- 2. Topology Conjugacy -- ยง 2.1 Decomposition of Topological Conjugacies -- ยง 2.2 Algebraic Consequences of Topological Conjugacy -- Notes -- References -- 3. Automorphisms -- ยง 3.1 Automorphisms -- ยง 3.2 Automorphisms as Conjugacies -- ยง 3.3 Subgroups of the Automorphism Group -- ยง 3.4 Actions of Automorphisms -- ยง 3.5 Summary -- Notes -- References -- 4. Embeddinggs and Factor Maps -- ยง 4.1 Factor Maps -- ยง 4.2 Finite-to-one Factor Maps -- ยง4.3 Special Constructions Involving Factor Maps -- ยง 4.4 Subsystems and Infinite-to-One Factor Maps -- Notes -- References -- 5. Almost-Topological Conjugacy -- ยง 5.1 Reducible Subshifts of Finite Type -- ยง 5.2 Almost-Topological Conjugacy -- Notes -- References -- 6. Further Topics -- ยง 6.1 Sofic Systems -- ยง 6.2 Markov Measures and the Maximal Measure -- ยง 6.3 Markov Subgroups -- ยง 6.4 Cellular Automata -- ยง 6.5 Channnel Codes -- Notes -- References -- 7. Countable State Markov Shifts -- ยง 7.1 Perron-Frobenius Theory -- ยง 7.2 Basic Symbolic Dynamics -- Notes -- References -- Name Index