Symbolic Dynamics

This book is a textbook on an important topic in discrete dynamical systems, which also includes major applications.

An accessible book (for students) on a hot topic in mathematics

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

Inhalt

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.