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Sprache:
Englisch
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Beschreibung
Measure-theoretic dynamical systems.- Measures on compact metric spaces.- Invariant measures for continuous tranformations.- Time averages.- Ergodicity.- Mixing and transitivity.- Shifts and subshifts.- Measures on the shift space.- Partitions and generators.- Information and entropy.- The computation of entropy.- Entropy for Bernoulli and Markov shifts.- Ergodic decompositions.- Topological entropy.- Topological generators.- Expansive homeomorphisms.- Subshifts of finite type.- The variational principle for topological entropy.- Measures with maximal entropy-Intrinsically ergodic systems.- Entropy-Expansive homeomorphisms.- The specification property.- Specification and expansiveness.- Basic sets for axiom A.- Automorphisms of the torus.- More on subshifts of finite type.- Preparations for generator theorems.- Combinatorial construction of minimal sets.- Finite generators for ergodic transformations (theorem of Krieger).- Strictly ergodic embedding (Theorem of Jewett and Krieger).- Finite generators for aperiodic transformations.- Embedding theorems for aperiodic transformations.
Measure-theoretic dynamical systems.- Measures on compact metric spaces.- Invariant measures for continuous tranformations.- Time averages.- Ergodicity.- Mixing and transitivity.- Shifts and subshifts.- Measures on the shift space.- Partitions and generators.- Information and entropy.- The computation of entropy.- Entropy for Bernoulli and Markov shifts.- Ergodic decompositions.- Topological entropy.- Topological generators.- Expansive homeomorphisms.- Subshifts of finite type.- The variational principle for topological entropy.- Measures with maximal entropy-Intrinsically ergodic systems.- Entropy-Expansive homeomorphisms.- The specification property.- Specification and expansiveness.- Basic sets for axiom A.- Automorphisms of the torus.- More on subshifts of finite type.- Preparations for generator theorems.- Combinatorial construction of minimal sets.- Finite generators for ergodic transformations (theorem of Krieger).- Strictly ergodic embedding (Theorem of Jewett and Krieger).- Finite generators for aperiodic transformations.- Embedding theorems for aperiodic transformations.
Inhaltsverzeichnis
Measure-theoretic dynamical systems.- Measures on compact metric spaces.- Invariant measures for continuous tranformations.- Time averages.- Ergodicity.- Mixing and transitivity.- Shifts and subshifts.- Measures on the shift space.- Partitions and generators.- Information and entropy.- The computation of entropy.- Entropy for Bernoulli and Markov shifts.- Ergodic decompositions.- Topological entropy.- Topological generators.- Expansive homeomorphisms.- Subshifts of finite type.- The variational principle for topological entropy.- Measures with maximal entropy-Intrinsically ergodic systems.- Entropy-Expansive homeomorphisms.- The specification property.- Specification and expansiveness.- Basic sets for axiom A.- Automorphisms of the torus.- More on subshifts of finite type.- Preparations for generator theorems.- Combinatorial construction of minimal sets.- Finite generators for ergodic transformations (theorem of Krieger).- Strictly ergodic embedding (Theorem of Jewett and Krieger).- Finite generators for aperiodic transformations.- Embedding theorems for aperiodic transformations.
Details
| Erscheinungsjahr: | 1976 |
|---|---|
| Fachbereich: | Allgemeines |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Lecture Notes in Mathematics |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9783540077978 |
| ISBN-10: | 3540077979 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Denker, M.
Grillenberger, C. Sigmund, K. |
| Hersteller: |
Springer
Springer Vieweg Springer-Verlag GmbH Lecture Notes in Mathematics |
| Verantwortliche Person für die EU: | Springer Nature Customer Service Center GmbH, Europaplatz 3, D-69115 Heidelberg, productsafety@springernature.com |
| Maße: | 235 x 155 x 20 mm |
| Von/Mit: | M. Denker (u. a.) |
| Erscheinungsdatum: | 01.07.1976 |
| Gewicht: | 0,557 kg |
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